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

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