# How do you convert pi to degrees?

## How do you convert pi to degrees?

Convert from radians to degrees by multiplying the number of radians by 180/pi. For example, in the example of pi/2 radians, you would multiply pi/2 by 180/pi to get 90 degrees. Or, if you had an angle of pi radians, you would multiply pi by 180/pi to get 180 degrees.

What is the value of pi in radians and degrees?

Radian is commonly considered while measuring the angles of trigonometric functions or periodic functions. Radians is always represented in terms of pi, where the value of pi is equal to 22/7 or 3.14….Degrees to Radians Chart.

Angle in Degrees Angle in Radians

How many pi radians is degrees?

180π degrees
1 radian is equal to 180π degrees. From here we can see that π radians is 180 degrees.

### Is pi radians equal to 180 degrees?

We’re talking about radian measure of angles. 180 degrees equals pi radians, so to get one degree divide both sides by 180.

Is Pi equal to 90 degrees?

90 degrees (a right angle) is 1/4th of 360, shown below as two perpendicular lines. One radian is the angle at which that ratio equals one (see the first diagram). 180 degrees = PI radians, 360 degrees = 2*PI radians, 90 degrees = PI/2 radians, etc.

Why do we take pi as 180 degrees in trigonometry?

Originally Answered: Why is 180 degrees equal to pi radians? Since the circumference of a circle is 2pi. radians which equals 360 degrees. Then 1/2 of 2 pi radians equal 1/2 of 360 degrees, hence pi radians equal 180 degrees.

## Why are there pi radians in 180 degrees?

It’s because the circumference of a circle is 2pi x r. If you draw a circle of radius 1 unit (1cm, 1 inch, or 1 anything else), and then measure the length of an arc of 180 degrees (ie. a semi-circle), the length of the arc will be pi units (pi cm, pi inches, or pi whatever unit you’re using).