Question

The circumference of the circle shown below is 75 inches. Which expression gives the length in inches of ?

Answer 1

Answer: 72/360 •75 ...............

Answer 2

The question asks for the length of the arc of a sector of 72°.

Then, you can apply this proportion, naming the curcumference C:

C / 360° = arc / 72°

=> arc = 72° * C / 360°

Now use C =75 in

=> arc = 72° * 75 in / 360 =.15 in

Answer: the length of the arc is 15 in.