-50 Points-Find the area of the smaller sector. Leave your answer in terms of pi.
Accepted Solution
A:
The formula to find the area of a sector is:A = [tex]\frac{degree}{360} \pi r^{2}[/tex]In this case:Degree = 40Radius = 8^^^Plug these numbers into the formula given aboveA = [tex]\frac{40}{360} \pi 8^{2}[/tex]SolveA = [tex]\frac{1}{9}[/tex]π8²A = [tex]\frac{1}{9}[/tex]π64A = [tex]\frac{64}{9}\pi[/tex]A = 7.1111111πWhen rounded:7.1π is the area of the sectorHope this helped!~Just a girl in love with Shawn Mendes