Question

Select the correct answer.

What is the measure of the indicated central angle ?

A.
None of the above
B.
54°
C.
27°
D.
96°
E.
48°

Answer 1

C. 27

Explanation:

Arc length = fraction of the circle * circumference

Arc length = fraction of the circle * 2 * pi *r

3/4 pi = fraction of the circle * 2 * pi *5

3/4 pi = fraction of the circle *10 pi

Divide each side by 10pi

3/4 pi

-------- = fraction of a circle

10 pi

3/40 = fraction of a circle

A circle is 360 degrees

3/40 = x/360

Multiply by 360

3/40 *360 = x

27 = x