{"chart":"angle-conversion-chart","generatedFrom":"All Unit Conversions shared conversion library","tables":[{"title":"Conversion factor matrix","headers":["1 unit =","°","rad","gon","′","″"],"rows":[["1 °","1","0.0174533","1.11111","60","3,600"],["1 rad","57.2958","1","63.662","3,437.75","206,265"],["1 gon","0.9","0.015708","1","54","3,240"],["1 ′","0.0166667","2.90888 × 10⁻⁴","0.0185185","1","60"],["1 ″","2.77778 × 10⁻⁴","4.84814 × 10⁻⁶","3.08642 × 10⁻⁴","0.0166667","1"]]},{"title":"Common angles","headers":["Degrees (°)","Radians (exact)","Radians (rad)","Gradians (gon)"],"rows":[["0","0","0.00000","0"],["15","π/12","0.26180","16.667"],["30","π/6","0.52360","33.333"],["45","π/4","0.78540","50"],["60","π/3","1.04720","66.667"],["90","π/2","1.57080","100"],["120","2π/3","2.09440","133.333"],["135","3π/4","2.35619","150"],["150","5π/6","2.61799","166.667"],["180","π","3.14159","200"],["210","7π/6","3.66519","233.333"],["225","5π/4","3.92699","250"],["240","4π/3","4.18879","266.667"],["270","3π/2","4.71239","300"],["300","5π/3","5.23599","333.333"],["315","7π/4","5.49779","350"],["330","11π/6","5.75959","366.667"],["360","2π","6.28319","400"]]},{"title":"Slope percentage to angle (ramps, roads, drainage)","headers":["Slope (%)","Angle (°)","Ratio (1 in …)"],"rows":[["1","0.57","100.0"],["2","1.15","50.0"],["2.5","1.43","40.0"],["4","2.29","25.0"],["5","2.86","20.0"],["6","3.43","16.7"],["8","4.57","12.5"],["8.33","4.76","12.0"],["10","5.71","10.0"],["12","6.84","8.3"],["15","8.53","6.7"],["20","11.31","5.0"],["25","14.04","4.0"],["30","16.70","3.3"],["33.3","18.42","3.0"],["40","21.80","2.5"],["50","26.57","2.0"],["60","30.96","1.7"],["75","36.87","1.3"],["100","45.00","1.0"]]},{"title":"Roof pitch (rise per 12 run) to angle","headers":["Pitch","Angle (°)","Slope (%)"],"rows":[["1","4.76","8.3"],["2","9.46","16.7"],["3","14.04","25.0"],["4","18.43","33.3"],["5","22.62","41.7"],["6","26.57","50.0"],["7","30.26","58.3"],["8","33.69","66.7"],["9","36.87","75.0"],["10","39.81","83.3"],["11","42.51","91.7"],["12","45.00","100.0"],["13","47.29","108.3"],["14","49.40","116.7"],["15","51.34","125.0"],["16","53.13","133.3"],["17","54.78","141.7"],["18","56.31","150.0"],["19","57.72","158.3"],["20","59.04","166.7"],["21","60.26","175.0"],["22","61.39","183.3"],["23","62.45","191.7"],["24","63.43","200.0"]]}]}