Question

if a circle has an area and a circumference that are exactly the same then what does the radius of the circle have to be?

Answer 1

2

Explanation:

1. Identify the equations

Area of the circle

`A = \pi r^2`

Circumference of the circle

`C=2\pi r`

2. Set up an equation.

`\pi r^2 = 2\pi r`

3. Solve for r.

`\pi r^2 = 2\pi r`

`r^2 = 2r`

`r=2`