Question

The area of a quarter circle is 38.465 square
inches. What is the quarter circle's radius?

Answer 1

The formula for a circle's area is
`A=\pi r^2`. We are given an area of 38.465 square inches for a quarter of it.

Multiply this value by 4 to compensate for the quarter circle.

`4 * 38.465=\pi r^2`

`153.86=\pi r^2`

Divide both sides by pi (Note: I'm using the conventional value of 3.14)

`49=r^2`

Take the positive square root of both sides

`7=r`

The radius is 7 inches. Let me know if you have any questions, thanks!