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 = πr²

Consider the ratio of area and circumference

A/C = πr²/2πr

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.