Question

An arc of circle M has length 32 centimeters and the corresponding central angle has a radian measure of 8/9 . What is the radius of the circle? The radius of the circle is centimeters.

Answer 1

36cm.

Explanation:

To find the radius of a circle given the length of an arc and the radian measure of the corresponding central angle, we can use the following formula:

r = (arc length) / (radian measure)

Using the given values in the given problem, we have:

r = 32 / (8/9)

Simplifying the right-hand side, we have:

r = 32 * (9/8)

r = 36

Therefore, the radius of circle M is 36 centimeters.