Question

Given a central angle of 252° and an arc length of 44 ft, determine the radius.

Answer 1

10ft

Explanation:

Given parameters:

Central angle = 252°

Arc length = 44ft

Unknown:

Radius = ?

Solution:

To find the radius of the circle, let us use the expression;

Arc length =
`(central angle)/(360)` x 2πr

Insert the parameters and solve for r,

44 =
`(252)/(360)` x 2 x 3.142 x r

44 = 4.4r

r = 10ft