Convert 45 Degrees to Radians

Here we will show you how to convert 45 Degrees to radians. 45 Degrees is a measurement of an angle. Radians is the ratio of the arc length to the radius of a circle. See Figure 1.

On this page, we put 45 Degrees into our formula to calculate the radians. The formula for converting degrees to radians is as follows:

Radians = (π / 180) x Degrees

If we put 45 Degrees into our formula we get: (π / 180) x 45 =

0.785398163397448

Extra credit: Many people also want to know what 45 Degrees is in radians expressed in terms of Pi. The math would be (45/180)π and the answer is as follows: 0.2500π

Figure 1

This page shows how to convert an 45 degree angle to radians, where radians is the ratio of the arc length to the radius of the circle. Although not the correct dimensions, the figure above shows the parts of the circle and triangle we are working with.

Degrees to Radians Converter Calculator
45 Degrees is not the only number of degrees we have converted to radians. To convert another number of degrees, simply enter it below and press "Radians".

Convert 46 Degrees to Radians
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