Multiple choice

A circle has center O, and points C and D lie on the circle. The measure of arc CD is 60° and the length of arc CD is 5 inches. What is the circumference of the circle in inches?

  1. 10

  2. 15

  3. 20

  4. 30

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The arc length formula is L = (theta/360) * Circumference. Here, 5 = (60/360) * C. This simplifies to 5 = (1/6) * C, so C = 30.

AI explanation

The arc length is a fraction of the total circumference, found by multiplying the circumference by the central angle and dividing by 360 degrees. Setting up the equation with the given arc length gives 5 = circumference times 60 divided by 360. This simplifies to 5 = circumference divided by 6, meaning the total circumference is 5 times 6, or 30 inches.