Question

A circle has a central angle that measures 23º and the arc length is 12pi. Find the measure of the radius in radians. Round answers to nearest hundredth.

Answer 1

The radius of the circle is 93.91

Explanation:

In order to calculate the radius of this circle we can apply the formula to find the arc length. This formula is shown below:

length = [(angle)*pi*radius]/180

Since we want to find the radius we can isolate that variable, as shown:

(angle)*pi*radius = length*180

radius = (length*180)/(angle*pi)

radius = (12*pi*180)/(23*pi) = (12*180)/23

radius = 93.91