[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"tool-content:en:roof-pitch-calculator":3,"glossary:en":57,"published-tools-en":107},{"id":4,"documentId":5,"slug":6,"intro":7,"howTo":8,"longContent":9,"createdAt":10,"updatedAt":11,"publishedAt":12,"locale":13,"name":14,"faq":15,"examples":40,"category":41,"seo":51,"localizations":56,"metaTitle":53,"metaDescription":54},308,"w3xeuph02f5wh2xxv9k7rasa","roof-pitch-calculator","\u003Cp>Roof pitch is the vertical rise over \u003Cstrong>12 units of horizontal run\u003C\u002Fstrong>, so a 6\u002F12 roof climbs 6 inches for every foot it travels sideways, the same slope a metric drawing labels \u003Cstrong>26.57 degrees\u003C\u002Fstrong> or 50 percent. This roof pitch calculator converts between the three notations and adds the two figures a quote needs: the rafter length from ridge to eave and the area multiplier that turns a footprint into real roof surface. It also names the band a pitch falls into, from the \u003Cstrong>2\u002F12\u003C\u002Fstrong> shingle floor to the \u003Cstrong>9\u002F12\u003C\u002Fstrong> steep-slope line.\u003C\u002Fp>","\u003Col>\n\u003Cli>Pick the input mode that matches the measurement already in hand: a rise over a run, an angle read off an inclinometer or a slope in percent from a metric drawing.\u003C\u002Fli>\n\u003Cli>Enter the horizontal run, which on a symmetrical gable is half the building width and never the full span, then switch the length units between feet and meters.\u003C\u002Fli>\n\u003Cli>Read the pitch in its X-in-12, degree and percent forms, then take the rafter length underneath it, computed as the square root of rise² + run² and measured before any overhang.\u003C\u002Fli>\n\u003Cli>Check the verdict panel for the 2\u002F12 shingle floor, the doubled underlayment band up to 4\u002F12, the 6\u002F12 walkable limit and the 9\u002F12 steep-slope threshold, then multiply a roof footprint by the area multiplier to get the surface to order.\u003C\u002Fli>\n\u003C\u002Fol>","\u003Ch2 id=\"how-to-calculate-roof-pitch\">How to calculate roof pitch from a rise and run measurement\u003C\u002Fh2>\n\u003Cp>Roof pitch is the rise divided by the run, multiplied by 12 for the X-in-12 label a plan carries. Measured on the roof itself, a roofer holds a two-foot level flat against the underside of a rafter, marks \u003Cstrong>12 inches\u003C\u002Fstrong> along it from the contact point, then measures straight down to the roof plane. The inches on the tape are the rise while the horizontal 12 inches are the run, so 6 inches of drop over that run gives a \u003Cstrong>6\u002F12 pitch\u003C\u002Fstrong>.\u003C\u002Fp>\n\u003Cp>Anyone trying to figure roof pitch without climbing up works from the ground instead. The ridge height above the wall plate divided by half the building width gives the same answer, the run of a gable being half its span. On a house 28 feet wide whose ridge sits 7 feet above the plate, the run is 14 feet and 7 divided by 14 gives a slope of 0.5, so the calculator returns \u003Cstrong>6\u002F12 at 26.57 degrees\u003C\u002Fstrong> with a \u003Cstrong>15.65 ft rafter\u003C\u002Fstrong> before any overhang.\u003C\u002Fp>\n\n\u003Ch2 id=\"degrees-and-percent\">How to calculate roof pitch in degrees and in percent\u003C\u002Fh2>\n\u003Cp>The angle is the arctangent of the rise divided by the run, one keystroke on any scientific calculator. On a 4\u002F12 roof, 4 divided by 12 gives a slope of 0.3333, whose arctangent is \u003Cstrong>18.43 degrees\u003C\u002Fstrong> while the same 0.3333 multiplied by 100 gives \u003Cstrong>33.33 percent\u003C\u002Fstrong>.\u003C\u002Fp>\n\u003Cp>Percent and degrees only track each other near the bottom of the scale. A \u003Cstrong>100 percent slope works out to 45 degrees\u003C\u002Fstrong>, percent counting rise against run while degrees measure the angle off the horizontal. A reading of 30 degrees on an inclinometer is a 6.93\u002F12 pitch at 57.74 percent.\u003C\u002Fp>\n\u003Cp>Metric drawings and digital inclinometers give slope in percent, so a 45 percent reading converts to \u003Cstrong>5.4\u002F12\u003C\u002Fstrong> at 24.23 degrees, the X-in-12 label a framer or a shingle supplier will ask for.\u003C\u002Fp>\n\n\u003Ch2 id=\"roof-pitch-angle-chart\">Roof pitch angle chart from 1\u002F12 to 12\u002F12\u003C\u002Fh2>\n\u003Cp>Most plans call for a whole number of inches of rise, so the roof pitch angle chart below lists every rise from 1\u002F12 to 12\u002F12 with its angle, its percentage and its area multiplier. That last column is the square root of 1 plus the slope squared, which doubles as the rafter length per unit of run.\u003C\u002Fp>\n\u003Ctable>\n\u003Cthead>\u003Ctr>\u003Cth>Pitch\u003C\u002Fth>\u003Cth>Degrees\u003C\u002Fth>\u003Cth>Percent\u003C\u002Fth>\u003Cth>Area multiplier\u003C\u002Fth>\u003C\u002Ftr>\u003C\u002Fthead>\n\u003Ctbody>\n\u003Ctr>\u003Ctd>1\u002F12\u003C\u002Ftd>\u003Ctd>4.76°\u003C\u002Ftd>\u003Ctd>8.33 %\u003C\u002Ftd>\u003Ctd>1.0035\u003C\u002Ftd>\u003C\u002Ftr>\n\u003Ctr>\u003Ctd>2\u002F12\u003C\u002Ftd>\u003Ctd>9.46°\u003C\u002Ftd>\u003Ctd>16.67 %\u003C\u002Ftd>\u003Ctd>1.0138\u003C\u002Ftd>\u003C\u002Ftr>\n\u003Ctr>\u003Ctd>3\u002F12\u003C\u002Ftd>\u003Ctd>14.04°\u003C\u002Ftd>\u003Ctd>25.00 %\u003C\u002Ftd>\u003Ctd>1.0308\u003C\u002Ftd>\u003C\u002Ftr>\n\u003Ctr>\u003Ctd>4\u002F12\u003C\u002Ftd>\u003Ctd>18.43°\u003C\u002Ftd>\u003Ctd>33.33 %\u003C\u002Ftd>\u003Ctd>1.0541\u003C\u002Ftd>\u003C\u002Ftr>\n\u003Ctr>\u003Ctd>5\u002F12\u003C\u002Ftd>\u003Ctd>22.62°\u003C\u002Ftd>\u003Ctd>41.67 %\u003C\u002Ftd>\u003Ctd>1.0833\u003C\u002Ftd>\u003C\u002Ftr>\n\u003Ctr>\u003Ctd>6\u002F12\u003C\u002Ftd>\u003Ctd>26.57°\u003C\u002Ftd>\u003Ctd>50.00 %\u003C\u002Ftd>\u003Ctd>1.1180\u003C\u002Ftd>\u003C\u002Ftr>\n\u003Ctr>\u003Ctd>7\u002F12\u003C\u002Ftd>\u003Ctd>30.26°\u003C\u002Ftd>\u003Ctd>58.33 %\u003C\u002Ftd>\u003Ctd>1.1577\u003C\u002Ftd>\u003C\u002Ftr>\n\u003Ctr>\u003Ctd>8\u002F12\u003C\u002Ftd>\u003Ctd>33.69°\u003C\u002Ftd>\u003Ctd>66.67 %\u003C\u002Ftd>\u003Ctd>1.2019\u003C\u002Ftd>\u003C\u002Ftr>\n\u003Ctr>\u003Ctd>9\u002F12\u003C\u002Ftd>\u003Ctd>36.87°\u003C\u002Ftd>\u003Ctd>75.00 %\u003C\u002Ftd>\u003Ctd>1.2500\u003C\u002Ftd>\u003C\u002Ftr>\n\u003Ctr>\u003Ctd>10\u002F12\u003C\u002Ftd>\u003Ctd>39.81°\u003C\u002Ftd>\u003Ctd>83.33 %\u003C\u002Ftd>\u003Ctd>1.3017\u003C\u002Ftd>\u003C\u002Ftr>\n\u003Ctr>\u003Ctd>11\u002F12\u003C\u002Ftd>\u003Ctd>42.51°\u003C\u002Ftd>\u003Ctd>91.67 %\u003C\u002Ftd>\u003Ctd>1.3566\u003C\u002Ftd>\u003C\u002Ftr>\n\u003Ctr>\u003Ctd>12\u002F12\u003C\u002Ftd>\u003Ctd>45.00°\u003C\u002Ftd>\u003Ctd>100.00 %\u003C\u002Ftd>\u003Ctd>1.4142\u003C\u002Ftd>\u003C\u002Ftr>\n\u003C\u002Ftbody>\n\u003C\u002Ftable>\n\u003Cp>The rows change the material bill more than the method, the step from 4\u002F12 to 8\u002F12 adding about \u003Cstrong>14 percent\u003C\u002Fstrong> to the surface to cover, 1.2019 against 1.0541.\u003C\u002Fp>\n\n\u003Ch2 id=\"22-5-and-45-degrees\">What a 22.5 degree roof and a 45 degree angle work out to\u003C\u002Fh2>\n\u003Cp>A 22.5 degree roof is a \u003Cstrong>5\u002F12 pitch\u003C\u002Fstrong> in every practical sense. The exact arithmetic falls a fraction short, tan(22.5°) × 12 working out to 4.97 in 12 against the 22.62 degrees of a true 5\u002F12, a gap no slope gauge resolves on a finished deck. A roof read at 22.5 degrees gets framed and ordered as 5\u002F12 at \u003Cstrong>41.42 percent\u003C\u002Fstrong>.\u003C\u002Fp>\n\u003Cp>A 45 degree angle is the one pitch where all three notations land on whole numbers, \u003Cstrong>12\u002F12\u003C\u002Fstrong> with the rise equal to the run and a slope of exactly 100 percent. Its rafters run 1.4142 times the horizontal run, the square root of 2, so the roof surface covers 41 percent more area than the footprint beneath it.\u003C\u002Fp>\n\n\u003Ch2 id=\"pitch-and-roofing-method\">Minimum roof pitch for shingles and the point a roof stops being walkable\u003C\u002Fh2>\n\u003Cp>The wrapper on a bundle of asphalt shingles prints a minimum slope, usually 2\u002F12. Below that line the shingles stop holding water because wind driven rain climbs back under the tabs faster than the slope sheds it. The residential code (IRC R905.2.2) draws the same \u003Cstrong>2:12 floor\u003C\u002Fstrong> and sends anything flatter to a membrane, either EPDM, TPO or torch applied modified bitumen.\u003C\u002Fp>\n\u003Cp>Between 2\u002F12 and 4\u002F12 shingles are allowed with the underlayment \u003Cstrong>doubled\u003C\u002Fstrong> over the whole deck, a single layer being enough above 4\u002F12. Those figures are code minimums. The installation instructions printed on the bundle govern the warranty. A product that asks for more slope or for extra sealing at the eaves sets the number to build to.\u003C\u002Fp>\n\u003Cp>Access to the deck changes at \u003Cstrong>6\u002F12\u003C\u002Fstrong>, the last pitch a roofer walks in soft soled shoes without staging. Past that point the quote picks up roof jacks, planks and a harness on rated anchor points, all labour rather than material. Above \u003Cstrong>9\u002F12\u003C\u002Fstrong> scaffolding becomes the norm and the pace of loading bundles drops.\u003C\u002Fp>\n\u003Cp>Steepness shows up again on the material order. A 10\u002F12 deck covers \u003Cstrong>1.3017 times its footprint\u003C\u002Fstrong>, close to a third more shingle than a ground area estimate suggests. On a 2,000 sq ft footprint the difference is \u003Cstrong>603 sq ft\u003C\u002Fstrong> of extra surface, roughly six more squares, a square being the 100 sq ft unit roofing is sold in.\u003C\u002Fp>","2026-08-04T07:29:49.537Z","2026-08-09T10:00:02.000Z","2026-08-09T10:00:00.000Z","en","Roof Pitch Calculator",[16,20,24,28,32,36],{"id":17,"question":18,"answer":19},2202,"How do you calculate the pitch of a roof?","\u003Cp>Hold a two-foot level flat against the roof surface or against the underside of a rafter, mark \u003Cstrong>12 inches\u003C\u002Fstrong> along it from the contact point, then measure straight down from that mark to the roof. The inches you read off are the rise, so 5 inches of drop over 12 inches of level is a \u003Cstrong>5\u002F12 pitch\u003C\u002Fstrong>. When the roof is wet, brittle or steeper than 6\u002F12, measure the ridge height above the wall plate from inside the attic instead and divide it by half the building width, which is the run of a symmetrical gable.\u003C\u002Fp>",{"id":21,"question":22,"answer":23},2203,"What pitch is a 22.5 degree roof?","\u003Cp>A 22.5 degree roof is a \u003Cstrong>5\u002F12 pitch\u003C\u002Fstrong> for every practical purpose. The exact arithmetic gives tan(22.5°) × 12 = 4.97 in 12 against 22.62 degrees for a true 5\u002F12, a difference smaller than any slope gauge reads on a finished deck. In percent that slope is \u003Cstrong>41.42 %\u003C\u002Fstrong>. Treated as 5\u002F12, the roof takes a rafter multiplier of 1.0833, so a 20 ft run works out to \u003Cstrong>21.67 ft\u003C\u002Fstrong> of rafter before the overhang.\u003C\u002Fp>",{"id":25,"question":26,"answer":27},2204,"What roof slope is a 45 degree angle?","\u003Cp>A 45 degree angle is a \u003Cstrong>12\u002F12 pitch\u003C\u002Fstrong> and a slope of exactly \u003Cstrong>100 percent\u003C\u002Fstrong>, the rise equalling the run. It is the only common pitch where all three notations sit on whole numbers at once. The rafter multiplier is 1.4142, the square root of 2, so a 45 degree roof over a 20 ft run needs \u003Cstrong>28.28 ft\u003C\u002Fstrong> of rafter before the overhang is added.\u003C\u002Fp>",{"id":29,"question":30,"answer":31},2205,"What is the minimum roof pitch for asphalt shingles?","\u003Cp>Asphalt shingle products set \u003Cstrong>2\u002F12\u003C\u002Fstrong> as the floor, in line with the residential code, with a doubled layer of underlayment required from 2\u002F12 up to 4\u002F12 and a single layer accepted above 4\u002F12. Those numbers are minimums for guidance. The printed installation instructions from the shingle manufacturer govern the warranty, since some products demand more slope or extra sealing at the eaves. Anything below 2\u002F12 belongs to a membrane system such as EPDM, TPO or modified bitumen.\u003C\u002Fp>",{"id":33,"question":34,"answer":35},2206,"What is the most common roof pitch?","\u003Cp>American residential roofs cluster between \u003Cstrong>4\u002F12 and 8\u002F12\u003C\u002Fstrong>. The figure that turns up most on new construction is \u003Cstrong>6\u002F12\u003C\u002Fstrong>, at 26.57 degrees and 50 percent. That band sheds water and snow while staying walkable up to 6\u002F12, which keeps a crew off jacks and holds labour rates down. Porches and additions run flatter, while Victorian and alpine designs climb past 9\u002F12 into steep-slope work.\u003C\u002Fp>",{"id":37,"question":38,"answer":39},2207,"How do I convert a roof footprint into actual roof area?","\u003Cp>Multiply the footprint by the area multiplier the calculator returns for the pitch. A 6\u002F12 roof covers \u003Cstrong>1.118 times\u003C\u002Fstrong> the ground area beneath it, so a 1,500 sq ft footprint becomes \u003Cstrong>1,677 sq ft\u003C\u002Fstrong> of roof surface, close to 17 squares before waste and starter courses. The same footprint under a 12\u002F12 roof reaches 2,121 sq ft.\u003C\u002Fp>",[],{"id":42,"documentId":43,"uid":44,"name":45,"tagline":46,"hubContent":47,"createdAt":48,"updatedAt":49,"publishedAt":50,"locale":13},27,"eb3vn4x2yjfb8rgjdmtb7r9e","home","Home & DIY","Materials, areas and layouts for home projects","\u003Cp>The calculators in this category answer the question that decides the order, which is how much material to buy. Concrete, gravel, mulch, tile, paint and lumber are each sold in their own unit, by the ton, the cubic yard, the box or the bag, so a raw volume rarely maps onto what a supplier will actually deliver. Every tool here turns a measurement into a purchase, adds the waste allowance the trade expects and flags the depths and dimensions that make a job fail.\u003C\u002Fp>","2026-08-04T07:29:26.689Z","2026-08-06T10:00:01.352Z","2026-08-06T10:00:00.000Z",{"id":52,"metaTitle":53,"metaDescription":54,"keywords":55,"metaRobots":55,"structuredData":55,"metaViewport":55,"canonicalURL":55},536,"Roof Pitch Calculator: X\u002F12, Degrees & Rafter Length","Roof pitch calculator that converts X\u002F12 into degrees and percent. Returns the rafter length, the roof area multiplier and whether shingles are allowed.",null,[],[58,70,82,95],{"id":59,"documentId":60,"slug":61,"term":62,"definition":63,"relatedTools":64,"createdAt":67,"updatedAt":68,"publishedAt":69,"locale":13},17,"o1ljpluv6app6z9rrhst4gfn","cubic-yard","Cubic yard","\u003Cp>A \u003Cstrong>cubic yard\u003C\u002Fstrong> is the volume of a cube measuring 3 x 3 x 3 feet, which equals 27 cubic feet or about \u003Cstrong>0.7646 m³\u003C\u002Fstrong>. It is the standard unit for ordering bulk materials in the United States: ready-mix concrete, topsoil, gravel, sand and mulch are all priced and delivered by the cubic yard, often shortened to \"yard\" on a quote.\u003C\u002Fp>\u003Cp>For scale, a typical 12 x 10 ft patio slab poured 4 inches thick contains 40 cubic feet, which is 40 \u002F 27 = 1.48 cubic yards of concrete. A standard ready-mix truck carries 8 to 10 cubic yards, so that whole slab uses less than a fifth of one load.\u003C\u002Fp>\u003Cp>How big is a cubic yard in practice? The cube stands 3 feet on each side, roughly counter height, and holds about 14 full wheelbarrow loads of material. Spread out, one cubic yard covers close to 100 square feet at a depth of 3 inches, the usual layer for mulch or a gravel path.\u003C\u002Fp>",[65,66],"math\u002Fconcrete-calculator","math\u002Fvolume-calculator","2026-07-18T14:23:56.812Z","2026-08-02T10:00:01.228Z","2026-08-02T10:00:00.000Z",{"id":71,"documentId":72,"slug":73,"term":74,"definition":75,"relatedTools":76,"createdAt":79,"updatedAt":80,"publishedAt":81,"locale":13},16,"mdw0ypy9f3z1nioxaxnl9rvr","password-entropy","Entropy (passwords)","\u003Cp>\u003Cstrong>Entropy\u003C\u002Fstrong> measures how unpredictable a password is, expressed in bits. Each additional bit doubles the number of guesses an attacker needs. For a randomly generated password, it follows a simple formula: entropy = length × log2 of the alphabet size, so both the length and the variety of characters raise the score.\u003C\u002Fp>\u003Cp>A random 16-character password drawn from the 94 printable ASCII symbols reaches 16 × log2(94), about \u003Cstrong>105 bits\u003C\u002Fstrong>. At 10 billion guesses per second, exhausting that space would take on the order of 10^14 years, while a 6-character password from the same alphabet peaks at 39 bits and falls in about a minute.\u003C\u002Fp>\u003Cp>Written as a formula, \u003Cstrong>E = L × log2(N)\u003C\u002Fstrong>: the entropy equals the length L multiplied by the base-2 logarithm of N, the number of possible symbols per character. Current guidance treats 75 to 80 bits as the comfortable minimum for accounts that matter, a level a random 12-character password mixing all character types already clears.\u003C\u002Fp>",[77,78],"generator\u002Fpassword-generator","generator\u002Fusername-generator","2026-07-18T14:23:55.755Z","2026-08-01T10:00:01.360Z","2026-08-01T10:00:00.000Z",{"id":83,"documentId":84,"slug":85,"term":86,"definition":87,"relatedTools":88,"createdAt":92,"updatedAt":93,"publishedAt":94,"locale":13},15,"ypkfs6wnfljm03ge2b1ztiwv","percentage-point","Percentage point","\u003Cp>A \u003Cstrong>percentage point\u003C\u002Fstrong> is the unit used to express the arithmetic difference between two percentages. It compares rates by subtraction, while \"percent\" compares them by division: the two measures answer different questions and can differ wildly for the same change.\u003C\u002Fp>\u003Cp>Example: an interest rate that moves from 5% to 7% rises by \u003Cstrong>2 percentage points\u003C\u002Fstrong> (7 - 5 = 2), but by 40 percent in relative terms (2 ÷ 5 × 100 = 40). Saying \"the rate went up 2%\" would be wrong on both counts: the correct phrasings are \"up 2 points\" or \"up 40%\".\u003C\u002Fp>\u003Cp>The standard abbreviation is \u003Cstrong>pp\u003C\u002Fstrong>, sometimes just \"points\", as in \"unemployment fell by 0.5 pp\". Confusing percent with percentage points remains the classic trap: a party moving from 20% to 30% in the polls gains 10 percentage points, yet grows by 50 percent, and headlines regularly pick the wrong figure.\u003C\u002Fp>",[89,90,91],"math\u002Fpercentage-calculator","math\u002Faverage-calculator","finance\u002Fcalcul-remise","2026-07-18T14:23:54.573Z","2026-07-31T10:00:01.940Z","2026-07-31T10:00:00.000Z",{"id":96,"documentId":97,"slug":98,"term":99,"definition":100,"relatedTools":101,"createdAt":104,"updatedAt":105,"publishedAt":106,"locale":13},14,"g3okb797ekrz0kkpm36mfjwc","weighted-average","Weighted average","\u003Cp>A \u003Cstrong>weighted average\u003C\u002Fstrong> is an average where each value counts in proportion to an assigned importance, called its weight, instead of counting equally. Each value is multiplied by its weight, the products are added, and the sum is divided by the total of the weights. Class grades, GPAs, and stock indexes are all weighted averages.\u003C\u002Fp>\u003Cp>Example: scores of 92, 85, and 88 with weights of 30, 30, and 40 give (92 x 30 + 85 x 30 + 88 x 40) \u002F 100 = \u003Cstrong>88.3\u003C\u002Fstrong>. The plain average of the same scores is 88.33, but if the heaviest score dropped to 78, the weighted average would fall to 84.3 while the plain average only fell to 85.\u003C\u002Fp>\u003Cp>The weighted average formula in plain words: multiply each value by its weight, add up the products, then divide by the sum of the weights. In a spreadsheet the whole calculation fits in one cell, since Excel's SUMPRODUCT function multiplies and adds in a single pass: SUMPRODUCT of the values and weights, divided by SUM of the weights.\u003C\u002Fp>",[90,102,103],"math\u002Fgrade-calculator","math\u002Fgpa-calculator","2026-07-18T14:23:53.329Z","2026-07-30T10:00:01.216Z","2026-07-30T10:00:00.000Z",{"slugs":108},[109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,6,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163],"age-calculator","average-calculator","cd-calculator","concrete-calculator","cursive-font-generator","date-calculator","fantasy-name-generator","final-grade-calculator","fraction-calculator","glitch-text-generator","gpa-calculator","grade-calculator","hex-converter","hours-calculator","interest-calculator","military-time-converter","roman-numeral-converter","password-generator","binary-converter","celsius-to-fahrenheit-converter","kg-to-lbs-converter","percentage-calculator","word-counter","tip-calculator","morse-code-translator","username-generator","ratio-calculator","sales-tax-calculator","small-text-generator","mm-to-inches-converter","volume-calculator","timer","square-footage-calculator","stair-calculator","board-foot-calculator","aspect-ratio-calculator","rounding-calculator","random-letter-generator","mulch-calculator","fence-calculator","upside-down-text-generator","acreage-calculator","gravel-calculator","proportion-calculator","paint-calculator","tile-calculator","braille-translator","quadratic-formula-calculator","gcf-calculator","probability-calculator","hex-to-rgb-converter","uuid-generator","standard-deviation-calculator","lcm-calculator","caesar-cipher"]