Question

In circle P, BC = 24 ft. What is the length of ABC

A) 33p

B) 11p

C) 22p

D) 44p

Answer 1

C) 22 pi

Explanation:

Here the diameter of the circle = 24.

Therefore, radius of the circle = 24/2 = 12 ft

Here we have to use the formula to find the arc length.

Arc length = (central angle / 360) * 2*pi*r

Central angle ABC = 360 - 30 = 330 degrees and radius (r) = 12

Now plug in these values in the formula, we get

Arc length ABC = (330/360) *2*pi*12

Now we have to simplify it.

= 11/12 *2 *pi*12

= 11*2*pi

Arc length of ABC = 22pi

Therefore, the answer is C) 22 pi

Hope you will understand the concept.

Thank you.