Question

In square units, what is the area of the sector that is not shaded?

Answer 1

`A = 350\pi \approx 1100`

Explanation:

The shaded area is a sector with a central angle of 45 deg.

The total measure of the central angle of a full circle is 360 deg.

The central angle of the unshaded sector is

360 deg - 45 deg = 315 deg

The area of a sector of a circle with a central angle of n degrees and a radius r is

`A = (n)/(360)\pi r^2`

`A = (315)/(360)\pi * 20^2`

`A = 350\pi \approx 1100`