Question

What is the area of sector​ GPH? the angle inside the circle measures 80º and the radius from p to h is 15

Answer 1

area = π r²

area of the required sector = (80/360) π * 15²
≈ 157.08

Answer 2

The area of sector GPH is equal to
`50\pi\ units^(2)`

Explanation:

we know that

The area of a circle is equal to

`A=\pi r^(2)`

we have

`r=15\ units`

substitute

`A=\pi(15)^(2)=225 \pi\ units^(2)`

`360\°` subtends the complete circle of area
`225 \pi\ units^(2)`

so

By proportion

Find the area of sector GPH

`(225 \pi)/(360)(\ units^(2) )/(degrees) =(x)/(80)(\ units^(2) )/(degrees)\\ \\x=80*225\pi /360\\ \\x=50\pi\ units^(2)`