Home Conversion Angle Radians to Degrees

Radians to Degrees Converter

You can easily convert different values of radians in decimal, fractional or multiples of π to their corresponding degree values. For example "π rad, 2π rad, 3π/2 rad, 1 rad, 10 rad, 0.1 rad, 0.5 rad, 0.5π rad or 7.5π rad etc." can be converted to their respective degree values.

Radians (rad) to Degrees (°) Conversion:

1 rad = 1 × (180°/π)

1 rad = 180°/π

1 rad = 57.29577951°

How to Convert Radians to Degrees

As described above, you can use our converter tool to convert a different range of radian values to their corresponding degree values. To convert the fractional values write the numerator part before the "/" and the denominator part after the "/" sign e.g. "3π/2 or 2/3". To use the pi value click on the "π" sign. After that you can press the convert button to get the degree value. The value of pi is equal to:

π = 3.1415926536

One complete round turn of circle or one revolution is equal to 2π rad = 360°, Therefore the formula for radians to degrees can be described as:

2π radian = 360°

π radian = 180°

1 rad = (180°π) degree

1 rad = 57.29577951°

Let's consider that "θ" represents angle values in degrees and alpha "α" represents angles in radians, then the radians to degrees conversion formula is:

θdegrees = αradians × (180°π)

or

degrees = radians × (180°π)

Radians to Degrees Examples

Example 1:

Example 2:

Example 3:

Example 4:

Radians to Degrees Common Conversions

Radians (rad) Radians (rad) Degrees (°)
0 rad 0 rad 0°
π/180 rad 0.0174532925 rad 1°
π/36 rad 0.0872664626 rad 5°
π/18 rad 0.1745329252 rad 10°
π/12 rad 0.2617993878 rad 15°
π/9 rad 0.3490658504 rad 20°
π/6 rad 0.5235987756 rad 30°
π/5 rad 0.6283185307 rad 36°
π/4 rad 0.7853981634 rad 45°
π/3 rad 1.0471975512 rad 60°
π/2 rad 1.5707963268 rad 90°
2π/3 rad 2.0943951024 rad 120°
3π/4 rad 2.3561944902 rad 135°
5π/6 rad 2.617993878 rad 150°
π rad 3.1415926536 rad 180°
3π/2 rad 4.7123889804 rad 270°
2π rad 6.2831853072 rad 360°

Radians to Degrees Conversion Table

Multiples of π (rad) Radians (rad) Degrees (°)
000°
0.01 π3.14159265361.8°
0.02 π0.06283185313.6°
0.03 π0.09424777965.4°
0.04 π0.12566370617.2°
0.05 π0.15707963279°
0.06 π0.188495559210.8°
0.07 π0.219911485812.6°
0.08 π0.251327412314.4°
0.09 π0.282743338816.2°
0.10 π0.314159265418°
0.11 π0.345575191919.8°
0.12 π0.376991118421.6°
0.13 π0.408407045023.4°
0.14 π0.439822971525.2°
0.15 π0.471238903327°
0.16 π0.502654826528.8°
0.17 π0.534070759830.6°
0.18 π0.565486693132.4°
0.19 π0.596902626434.2°
0.20 π0.628318559736°
0.21 π0.659734493037.8°
0.22 π0.691150426339.6°
0.23 π0.722566359641.4°
0.24 π0.753982292943.2°
0.25 π0.785398226245°
0.26 π0.816814159546.8°
0.27 π0.848230092848.6°
0.28 π0.879646026150.4°
0.29 π0.911061959452.2°
0.30 π0.942477892854°
0.31 π0.973893826155.8°
0.32 π1.005309759457.6°
0.33 π1.036725692759.4°
0.34 π1.068141626061.2°
0.35 π1.099557559363°
0.36 π1.130973492664.8°
0.37 π1.162389425966.6°
0.38 π1.193805359268.4°
0.39 π1.225221292570.2°
0.40 π1.256637225972°
0.41 π1.288053159273.8°
0.42 π1.319469092575.6°
0.43 π1.350885025877.4°
0.44 π1.382300959179.2°
0.45 π1.413716892481°
0.46 π1.445132825782.8°
0.47 π1.476548759084.6°
0.48 π1.507964692386.4°
0.49 π1.539380625788.2°
0.50 π1.570796326890°
0.51 π1.602212259691.8°
0.52 π1.633628192493.6°
0.53 π1.665044125295.4°
0.54 π1.696460058197.2°
0.55 π1.727875990999°
0.56 π1.7592919237100.8°
0.57 π1.7907078565102.6°
0.58 π1.8221237894104.4°
0.59 π1.8535397222106.2°
0.60 π1.8849556550108°
0.61 π1.9163715878109.8°
0.62 π1.9477875207111.6°
0.63 π1.9792034535113.4°
0.64 π2.0106193863115.2°
0.65 π2.0420353192117°
0.66 π2.0734512520118.8°
0.67 π2.1048671848120.6°
0.68 π2.1362831177122.4°
0.69 π2.1676990505124.2°
0.70 π2.1991149833126°
0.71 π2.2305309161127.8°
0.72 π2.2619468490129.6°
0.73 π2.2933627818131.4°
0.74 π2.3247787146133.2°
0.75 π2.3561946475135°
0.76 π2.3876105803136.8°
0.77 π2.4190265131138.6°
0.78 π2.4504424460140.4°
0.79 π2.4818583788142.2°
0.80 π2.5132743116144°
0.81 π2.5446902444145.8°
0.82 π2.5761061773147.6°
0.83 π2.6075221101149.4°
0.84 π2.6389380429151.2°
0.85 π2.6703539758153°
0.86 π2.7017699086154.8°
0.87 π2.7331858414156.6°
0.88 π2.7646017743158.4°
0.89 π2.7960177071160.2°
0.90 π2.8274336400162°
0.91 π2.8588495728163.8°
0.92 π2.8902655056165.6°
0.93 π2.9216814385167.4°
0.94 π2.9530973713169.2°
0.95 π2.9845133041171°
0.96 π3.0159292370172.8°
0.97 π3.0473451698174.6°
0.98 π3.0787611026176.4°
0.99 π3.1101770355178.2°
1 π3.1415926536180°
1.01 π3.1730088863181.8°
1.02 π3.2044248191183.6°
1.03 π3.2358407520185.4°
1.04 π3.2672566848187.2°
1.05 π3.2986726176189°
1.06 π3.3300885505190.8°
1.07 π3.3615044833192.6°
1.08 π3.3929204161194.4°
1.09 π3.4243363490196.2°
1.10 π3.4557522818198°
1.11 π3.4871682146199.8°
1.12 π3.5185841475201.6°
1.13 π3.5500000803203.4°
1.14 π3.5814160131205.2°
1.15 π3.6128319460207°
1.16 π3.6442478788208.8°
1.17 π3.6756638116210.6°
1.18 π3.7070797445212.4°
1.19 π3.7384956773214.2°
1.20 π3.7699116102216°
1.21 π3.8013275430217.8°
1.22 π3.8327434758219.6°
1.23 π3.8641594087221.4°
1.24 π3.8955753415223.2°
1.25 π3.9269912743225°
1.26 π3.9584072072226.8°
1.27 π3.9898231400228.6°
1.28 π4.0212390728230.4°
1.29 π4.0526550057232.2°
1.30 π4.0840709385234°
1.31 π4.1154868714235.8°
1.32 π4.1469028042237.6°
1.33 π4.1783187370239.4°
1.34 π4.2097346698241.2°
1.35 π4.2411506027243°
1.36 π4.2725665355244.8°
1.37 π4.3039824683246.6°
1.38 π4.3353984012248.4°
1.39 π4.3668143340250.2°
1.40 π4.3982302668252°
1.41 π4.4296461997253.8°
1.42 π4.4610621325255.6°
1.43 π4.4924780653257.4°
1.44 π4.5238939982259.2°
1.45 π4.5553099310261°
1.46 π4.5867258638262.8°
1.47 π4.6181417967264.6°
1.48 π4.6495577295266.4°
1.49 π4.6809736623268.2°
1.50 π4.7123889804270°
1.51 π4.7438059132271.8°
1.52 π4.7752218461273.6°
1.53 π4.8066377789275.4°
1.54 π4.8380537117277.2°
1.55 π4.8694696446279°
1.56 π4.9008855774280.8°
1.57 π4.9323015102282.6°
1.58 π4.9637174431284.4°
1.59 π4.9951333759286.2°
1.60 π5.0265493087288°
1.61 π5.0579652416289.8°
1.62 π5.0893811744291.6°
1.63 π5.1207971073293.4°
1.64 π5.1522130401295.2°
1.65 π5.1836289729297°
1.66 π5.2150449058298.8°
1.67 π5.2464608386300.6°
1.68 π5.2778767714302.4°
1.69 π5.3092927043304.2°
1.70 π5.3407086371306°
1.71 π5.3721245700307.8°
1.72 π5.4035405028309.6°
1.73 π5.4349564356311.4°
1.74 π5.4663723685313.2°
1.75 π5.4977883013315°
1.76 π5.5292042341316.8°
1.77 π5.5606201670318.6°
1.78 π5.5920361000320.4°
1.79 π5.6234520328322.2°
1.80 π5.6548679657324°
1.81 π5.6862838985325.8°
1.82 π5.7176998313327.6°
1.83 π5.7491157642329.4°
1.84 π5.7805316970331.2°
1.85 π5.8119476298333°
1.86 π5.8433635627334.8°
1.87 π5.8747794955336.6°
1.88 π5.9061954283338.4°
1.89 π5.9376113612340.2°
1.90 π5.9690272940342°
1.91 π6.0004432269343.8°
1.92 π6.0318591597345.6°
1.93 π6.0632750925347.4°
1.94 π6.0946910254349.2°
1.95 π6.1261069582351°
1.96 π6.1575228910352.8°
1.97 π6.1889388239354.6°
1.98 π6.2203547567356.4°
1.99 π6.2517706895358.2°
2 π6.2831853072360°
Radians (rad) Degrees (°)
00°
0.010.572957795°
0.021.145915590°
0.031.718873385°
0.042.291831180°
0.052.864788975°
0.063.437746770°
0.074.010704566°
0.084.583662361°
0.095.156620156°
0.105.729577951°
0.116.302535746°
0.126.875493541°
0.137.448451336°
0.148.021409132°
0.158.594366927°
0.169.167324722°
0.179.740282517°
0.1810.313240312°
0.1910.886198108°
0.2011.459155903°
0.2112.032113698°
0.2212.605071493°
0.2313.178029288°
0.2413.750987083°
0.2514.323944878°
0.2614.896902673°
0.2715.469860469°
0.2816.042818264°
0.2916.615776059°
0.3017.188733854°
0.3117.761691649°
0.3218.334649444°
0.3318.907607240°
0.3419.480565035°
0.3520.053522830°
0.3620.626480625°
0.3721.199438420°
0.3821.772396215°
0.3922.345354011°
0.4022.918311806°
0.4123.491269601°
0.4224.064227396°
0.4324.637185191°
0.4425.210142986°
0.4525.783100781°
0.4626.356058577°
0.4726.929016372°
0.4827.501974167°
0.4928.074931962°
0.5028.647889757°
0.5129.220847552°
0.5229.793805347°
0.5330.366763142°
0.5430.939720938°
0.5531.512678733°
0.5632.085636528°
0.5732.658594323°
0.5833.231552118°
0.5933.804509913°
0.6034.377467709°
0.6134.950425504°
0.6235.523383299°
0.6336.096341094°
0.6436.669298889°
0.6537.242256684°
0.6637.815214479°
0.6738.388172274°
0.6838.961130070°
0.6939.534087865°
0.7040.107045660°
0.7140.680003455°
0.7241.252961250°
0.7341.825919045°
0.7442.398876841°
0.7542.971834636°
0.7643.544792431°
0.7744.117750226°
0.7844.690708021°
0.7945.263665816°
0.8045.836623611°
0.8146.409581407°
0.8246.982539202°
0.8347.555496997°
0.8448.128454792°
0.8548.701412587°
0.8649.274370382°
0.8749.847328177°
0.8850.420285973°
0.8950.993243768°
0.9051.566201563°
0.9152.139159358°
0.9252.712117153°
0.9353.285074948°
0.9453.858032743°
0.9554.430990539°
0.9655.003948334°
0.9755.576906129°
0.9856.149863924°
0.9956.722821719°
157.295779514°
1.0157.868737309°
1.0258.441695105°
1.0359.014652900°
1.0459.587610695°
1.0560.160568490°
1.0660.733526285°
1.0761.306484080°
1.0861.879441875°
1.0962.452399671°
1.1063.025357466°
1.1163.598315261°
1.1264.171273056°
1.1364.744230851°
1.1465.317188646°
1.1565.890146441°
1.1666.463104237°
1.1767.036062032°
1.1867.609019827°
1.1968.181977622°
1.2068.754935417°
1.2169.327893212°
1.2269.900851008°
1.2370.473808803°
1.2471.046766598°
1.2571.619724393°
1.2672.192682188°
1.2772.765639983°
1.2873.338597778°
1.2973.911555574°
1.3074.484513369°
1.3175.057471164°
1.3275.630428959°
1.3376.203386754°
1.3476.776344549°
1.3577.349302344°
1.3677.922260140°
1.3778.495217935°
1.3879.068175730°
1.3979.641133525°
1.4080.214091320°
1.4180.787049115°
1.4281.360006911°
1.4381.932964706°
1.4482.505922501°
1.4583.078880296°
1.4683.651838091°
1.4784.224795886°
1.4884.797753681°
1.4985.370711477°
1.5085.943669272°
1.5186.516627067°
1.5287.089584862°
1.5387.662542657°
1.5488.235500452°
1.5588.808458247°
1.5689.381416043°
1.5789.954373838°
1.5890.527331633°
1.5991.100289428°
1.6091.673247223°
1.6192.246205018°
1.6292.819162813°
1.6393.392120609°
1.6493.965078404°
1.6594.538036199°
1.6695.110993994°
1.6795.683951789°
1.6896.256909584°
1.6996.829867380°
1.7097.402825175°
1.7197.975782970°
1.7298.548740765°
1.7399.121698560°
1.7499.694656355°
1.75100.267614150°
1.76100.840571946°
1.77101.413529741°
1.78101.986487536°
1.79102.559445331°
1.80103.132403126°
1.81103.705360921°
1.82104.278318716°
1.83104.851276512°
1.84105.424234307°
1.85105.997192102°
1.86106.570149897°
1.87107.143107692°
1.88107.716065487°
1.89108.289023283°
1.90108.861981078°
1.91109.434938873°
1.92110.007896668°
1.93110.580854463°
1.94111.153812258°
1.95111.726770053°
1.96112.299727849°
1.97112.872685644°
1.98113.445643439°
1.99114.018601234°
2114.591559026°

by Wasim Khan and it was last modified on

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