Practice Circumference in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

The total distance around the outside of a circle; equal to \pi times the diameter or 2\pi r.

Imagine wrapping a string tightly around a circular jar lid, then straightening the string out. That length is the circumference. No matter the size of the circle, the circumference is always \pi times the diameterβ€”roughly 3.14 laps of the diameter around the edge.

Example 1

easy
Find the circumference of a circle with radius 5 cm. Leave your answer in terms of \pi.

Example 2

medium
A circular track has a circumference of 400 m. Find the radius of the track to the nearest metre.

Example 3

easy
Find the circumference of a circle with diameter 14 cm. Leave your answer in terms of \pi.

Example 4

medium
A bicycle wheel has diameter 70 cm. How far does it travel in 20 complete rotations? Use \pi = \frac{22}{7}.