Acircle has a central angle measuring 90° that intersects an arc of length 117.75 inches.
using 3.14 for pi, what is the length of the radius of the circle?
inches ?

Radius = 75 inches .

Step-by-step explanation:

Given  : A circle has a central angle measuring 90° that intersects an arc of length 117.75 inches.

To find :  what is the length of the radius of the circle.

Solution : We have given

Central angle = 90°

Arc of length   = 117.75 inches.

Arc length = .

Plug the values

Theta = 90 , pi = 3.14 ,  arc length = 117.75 .

117 .75 =  .

117 .75 =  

On multiplying both sides 4

117.75 * 4 = 2 * 3.14 * radius .

471 = 6 .28 * radius .

On dividing both sides by 6.28

radius = .

Radius = 75 inches .

Therefore, Radius = 75 inches .

step-by-step explanation: s