Question

HELP ASAP! BRAINLIEST!

What is the measure of the indicated central angle?

A) 27 degrees

B) 54 degrees

C) 48 degrees

D) 96 degrees

E) None of the above

Answer 1

Answer:

A) 27 degrees

Step-by-step 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