A circle has a circumference of 31 π centimeters. What is the diameter, in centimeters, of the circle?

Question

A circle has a circumference of 31 &#960; centimeters. What is the diameter, in centimeters, of the circle?

Accepted Answer

The correct answer is 31 . The circumference of a circle is equal to 2 &#960; r centimeters, where r represents the radius, in centimeters, of the circle, and the diameter of the circle is equal to 2 r centimeters. It's given that a circle has a circumference of 31 &#960; centimeters. Therefore, 31 &#960; = 2 &#960; r . Dividing both sides of this equation by &#960; yields 31 = 2 r . Since the diameter of the circle is equal to 2 r centimeters, it follows that the diameter, in centimeters, of the circle is 31 .

Question 39d025