Answer:
The area of sector GPH is equal to [tex]50\pi\ units^{2}[/tex]
Step-by-step explanation:
we know that
The area of a circle is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=15\ units[/tex]
substitute
[tex]A=\pi(15)^{2}=225 \pi\ units^{2}[/tex]
[tex]360\°[/tex] subtends the complete circle of area [tex]225 \pi\ units^{2}[/tex]
so
By proportion
Find the area of sector GPH
[tex]\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}[/tex]
