Question

A circle has center O, and points A and B lie on the circle. The measure of arc AB is 45° and the length of arc AB is 3 inches. What is the circumference, in inches, of the circle?

Answer 1

C = 24 inches

Explanation:

the fraction of the circumference (C) that the arc AB subtends is

`(45)/(360)` =
`(1)/(8)`

thus C is 8 times length of arc AB

C = 8 × 3 = 24 inches