Question

Karen ate a 70 degree section of her birthday pie with a diameter of 12 inches. What is the area of the section of the pie that is leftover?

Answer 1

21.98in²

Explanation:

The section of the birthday pie that Karen ate forms a sector.

The central angle of this sector is 70°

The diameter is 12 inches.

This means the radius which is half of the diameter is 6 inches.

The area of the section that is leftover is given by:

`= ( \theta)/(360 \degree) * \pi \: {r}^(2)`

We substitute to get:

`= (70)/(360) * 3.14 * {6}^(2)`

`= (7)/(36) * 3.14 * 36 = 7 * 3.14 \\ = 21.98 {in}^(2)`