Question

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

Answer 1

Answer:

$A = 350\pi \approx 1100$

Step-by-step 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

$A = \dfrac{n}{360}\pi r^2$

$A = \dfrac{315}{360}\pi \times 20^2$

$A = 350\pi \approx 1100$