Log In | Sign Up

Home Products Teachers Parents Students Free Stuff

Math Practice Topic: Circle Proportions

Description: This topic covers how similar circles relate in terms of radius, circumference, and area.

Adaptive Learning Progression: Circumference, then area, then radius.

Sample Levels (out of 4)

Solve.

1.	Circle A has a radius that is 4 times larger than the radius of Circle B. How much larger is the circumference of Circle A than the circumference of Circle B? times
2.	If a circle's radius were to increase by a factor of 8, by how much would its circumference increase? times
3.	If a circle's radius were to increase by a factor of 5, by how much would its circumference increase? times

Solve.

1.	Circle A has a radius that is 6 times larger than the radius of Circle B. How much larger is the area of Circle A than the area of Circle B? times
2.	Circle A has a radius that is 4 times larger than the radius of Circle B. How much larger is the area of Circle A than the area of Circle B? times
3.	If a circle's radius were to increase by a factor of 10, by how much would its area increase? times

Solve.

1.	If a circle's circumference were to increase by a factor of 4, by how much would its radius have had increased? times
2.	Circle A has an area that is 25 times larger than the area of Circle B. How much larger is the radius of Circle A than the radius of Circle B? times
3.	If a circle's area were to increase by a factor of 64, by how much would its radius have had increased? times

Solve.

1.	If a circle's radius were to increase by a factor of 10, by how much would its circumference increase? times
2.	If a circle's radius were to increase by a factor of 2, by how much would its area increase? times
3.	Circle A has an area that is 4 times larger than the area of Circle B. How much larger is the radius of Circle A than the radius of Circle B? times
4.	If a circle's circumference were to increase by a factor of 8, by how much would its radius have had increased? times