Radians to Degrees conversion calculator

Enter angle in radians and press the Convert button (e.g:0.5, π/2, 3π/2):

Enter Radians:		rad
	Convert Reset Swap
Degrees result:
Angle view:

Degrees to radians converter ►

How to trade radians over virtually to tiers

Pi radians are same to a hundred eighty degrees:

π rad = 100 eighty°

One radian is identical fifty seven.295779513 stages:

1 rad = one hundred and 80°/π = fifty seven.295779513°

The component α in degrees is identical to the issue α in radians times 100 80 tiers partitioned by using pi ordinary:

α_(tiers) = α_(radians) &instances; 100 and eighty°/π

or

ranges = radians × a hundred eighty°/π

Example

Convert 2 radians point to ranges:

α_(tiers) = α_(radians) × a hundred and eighty°/π = 2 &instances; 100 and eighty°/three.14159 = 114.592°

Radians and Degrees

Radians and ranges are the two devices applied for estimating elements. As you might be aware, a circle is contained 2π radians, that's what may be in evaluation to 360°; each of these developments cope with going "as quickly as round" a circle. In this way, 1π radian addresses going one hundred eighty° round a circle, which makes 100 80/π the appropriate change tool for transferring from radians to tiers. To alternate over from radians to tiers, you essentially need to replicate the radian esteem with the beneficial aid of one hundred 80/π.

How to alternate radians over sincerely to stages

Pi radians are equivalent to 100 and 80 ranges:

π rad = 100 and eighty°

One radian is equal fifty seven.295779513 degrees:

1 rad = one hundred eighty°/π = fifty seven.295779513°

The element α in ranges is equal to the issue α in radians times 180 stages separated thru pi regular:

α_(stages) = α_(radians) × a hundred and eighty°/π

or

levels = radians × one hundred eighty°/π

Example:

Convert 2 radians factor to tiers:

α_(levels) = α_(radians) × 100 80°/π = 2 × a hundred eighty°/three.14159 = 114.592°

Radians to ranges change desk

Radians (rad)	Radians (rad)	Degrees (°)
0 rad	0 rad	0°
π/6 rad	0.5235987756 rad	30°
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	2.6179938780 rad	150°
π rad	3.1415926536 rad	180°
3π/2 rad	4.7123889804 rad	270°
2π rad	6.2831853072 rad	360°

 

Degrees to radians conversion ►