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# Find a function that models the radius r of a circle in terms of its area A.

**Solution:**

We know that

Circumference of a circle with radius r is 2πr.

Area of circle = πr^{2}

Consider the ratio of area and circumference

A/C = πr^{2}/2πr

By further simplification,

A/C = r/2

We want radius r of a circle in terms of its area A

r = 2A/C

where A is area and C is circumference.

Therefore, the function which models the radius r of a circle in terms of its area A is** **r = 2A/C.

## Find a function that models the radius r of a circle in terms of its area A.

**Summary:**

The function that models the radius r of a circle in terms of its area A is r = 2A/C.

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