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

Answer:

The area of sector GPH is equal to $50\pi\ units^{2}$

Step-by-step 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

$\frac{225 \pi}{360}\frac{\ units^{2} }{degrees} =\frac{x}{80}\frac{\ units^{2} }{degrees}\\ \\x=80*225\pi /360\\ \\x=50\pi\ units^{2}$