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# Best Homework Help For Radians to Degrees

Radians and degrees are two different measuring systems, which are used to measure the angle. The SI unit of angle is the radian. One radian would be written as 1 rad, or simply 1. And, one degree would be written as 1°. We can convert between radian and degree using the following formula.

t=πx/180°                                                                      x=180°t/π

## Radians to Degrees Sample Questions:

Question 1: Write π/3 radians in degrees.

Explanation: Plug the value in the formula.

Question 2: Write 3π/2 radians in degrees.

Explanation: Plug the value in the formula.

Question 3: Convert 30° into radians. Write in terms of π.

Explanation: Plug the value of the angle in radianss.

Question 4: Convert 120° into radians. Write in terms of π.

Explanation: Plug the value of the angle in radians.

Question 5: In a circle, having a center at O, COD=5π/4. Write this measure in terms of degrees.

Explanation: Plug the value in the formula

Question 6: In a circle, having a center at O, BOD=150°. Write this measure in terms of radians.

Explanation: Plug the value of the angle in radians.

Question 7: Convert 5 radians to degrees.

Explanation: Plug the value in the formula.

Question 8: Convert 75° into radians.

Explanation: Plug the value of the angle in radians.

Question 9: Convert 440° into radians.

Explanation: Plug the value of the angle in radians.

Question 10: Convert 9 radians to degrees. Use π =3.14

Explanation: Plug the value in the formula

Question 1: How to convert radians to degrees?

Angle is measured in degree and radians. One complete angle is equal to 2π in radian form and 360° in degrees form. So, relation between radian and degree is

Question 2: When to use degrees or radians?

Angle is a part of a circle and a circle's diameter is equivalent to the radian. We want to make sure we are talking about (C=πD or C=2πr=C/r =2π) ratio whether we're working with circles or portions of circles. As a result, the word radians is always used to represent this ratio.

Question 3: How many radians is 180°?

One complete angle is equal to 2π in radian form and 360° in degrees form. So, relation between radian and degree is 