On This Page Three ways of expressing angles Converting from degrees to radian decimal Converting from degrees to radian fraction Converting from radian decimal to degrees Converting from radian fraction to degrees Converting from radian fraction to radian decimal Converting from radian decimal to radian fraction

There are three different ways of expressing angles. In degrees: There are 360° in a circle. In radian decimals: one radian is equal to 57.3°. There are 6.28 radians in a circle. In radian fraction: There are 2π radians in a circle.

Convert 201° to radian decimal. Degrees --> radian decimals, multiply by π/180° 201° · π/180° = 3.51 rad

Convert 225° to radian fraction. Degrees --> radian fractions, multiply by π/180° 225° · π/180° Instead of multiplying through, we first go with 225°/180°, then use your calculator to make it a fraction. 225°/180° = 1 and 1/4 Make it a improper fraction. 1 and 1/4 = 5/4 Afterwards, put π next to 5 in the numerator. Answer: 5π/4

Convert 6.28 radians to degrees. Radians --> degrees, multiply by 180°/π 6.28 · 180°/π = ~359.8°

Convert π/4 radians to degrees. Radians --> degrees, multiply by 180°/π The π cancels out when multiplying these two fractions, leaving us with 180°/4. Answer: 45°

Convert 7π/6 radians to radian decimal. Radian fraction is simply fraction form of radian decimal. 7 · π / 6 = ~3.67 rads