A circle with a radius of 12 inches has an arc that measures 8 pi inches. Find the measure of the central angle determined by th

Question

Yakvenalex [24]

3 years ago

8

A circle with a radius of 12 inches has an arc that measures 8 pi inches. Find the measure of the central angle determined by th

is arc.

Mathematics

1 answer:

ivanzaharov [21] · Answer 1 · 2022-07-21T04:30:57+03:00

ivanzaharov [21]3 years ago

3 0

We know that

[length of a circle]=2*pi*r
r=12 in
[length of a circle]=2*pi*12--------------> 24pi in

if 360° (full circle)--------------------> has a length of 24pi in
X-------------------------------------------> 8pi

X=8pi*360/24pi-----------> 120°

the answer is 120°