Find the radian measure of the angle with the given degree measure. Round your answer to three decimal places.

Question

Find the radian measure of the angle with the given degree measure. Round your answer to three decimal places.

17°

??? rad

Answer 1

There's a conversion factor for converting degrees to radians. You should look it up in your textbook (or other learning material). It's directly related to the formula for the circumference of a circle. There are 360^° in a circle, and there are 2π radians in a circle.

Answer 2

A circle has 2pi radians = 360 degrees

2pi=360 (if pi is in the angle, it's in radians, if there's no pi, it's in degrees, generally)

divide both sides by 360 to get the number of radians in one degree: 2pi/360 =pi/180=3.14159/180=.01745 radians

Multiply by 17 to get the number of radians in 17 dgrees: 17pi/180 = .09444pi radians = .2967 radians