Question

PLEAS HELP ME FIND THE AREA OF THE SHADED SECTOR

Answer 1

Area of shaded sector = 461.5 yd²

Explanation:

Points to remember

Area of circle = πr²

Where 'r' is the radius of circle

To find the area of given circle

Here r = 17.8 yd

Area = πr²

= 3.14 * 17.8²

= 3.14 * 316.84

= 994.8776 yd²

To find the area of shaded region

Central angle of sector = 167°

Area of sector = (167/360) * area of circle

= (167/360) *994.8776

= 461.52 ≈ 461.5 yd²

Answer 2

461.7 yd²

EXPLANATION

The shaded region represents a sector.

The area of the sector is a fraction of the area of the whole circle.

Area of sector

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

We substitute the angle of the sector and the radius of the circle to obtain:

`= (167 \degree)/(360 \degree) * \pi * {17.8}^(2)`

`= 461.7 {yd}^(2)`

Therefore the area of the shaded region to the nearest tenth is 461.7 square yards.