Question

consider circle c below, where the central angle is measured in radians. circle c is shown. line segments r c and s c are radii. angle r c s is startfraction 5 pi over 6 endfraction. arc r s has a measure of 10 pi. what is the length of the radius? units

Answer 1

Answer:

The answer is 12 units

Step-by-step explanation:

Answer 2

The length of the radius is 12 units

What is radius?

The radius of a circle is a line drawn from the center of the circle to its circumference

The length (L) of the arc is given as:

$L = 10\pi$

The length of an arc is:

$L = r\theta$

So, we have:

$r\theta =10\pi$

The angle at the center of the circle is $\frac{5\pi}{6}$

So, we have:

$r* \frac{5\pi}{6}=10\pi$

Multiply both sides by 6

$r* 5\pi=60\pi$

Divide both sides by 5pi

$r = 12$

Hence, the length of the radius is 12 units

Read more about radius at:

https://brainly.com/question/6613758