Question

A circle has an arc of length 32π that is intercepted by a central angle of 240°. what is the radius of the circle

Answer 1

The circumference of a circle is 2πr
32π:2πr=240:360
16:r=2:3
2r=48
r=24

Answer 2

Answer:

$r=24\ units$

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=2\pi r$

The circumference of a circle subtends for an angle of $360$ degrees

so

by proportion

Find the radius of the circle

$\frac{2\pi r}{360}=\frac{32\pi}{240}\\ \\ r=(360*32)/(2*240)\\ \\r=24\ units$