Respuesta :

Answer:

C. 27

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

Answer:

C. 27°

Step-by-step explanation:

Central Angle = (Arc Length / Circumference)*360

Circumference = 2πr=2π*5=10π

Central Angle = [(3π/4)/(10π)]*360=(3/40)*360=27°