Answer:
40π in²
Step-by-step explanation:
The area (A) of sector ODC is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{72}{360}[/tex]
= π × 10² × [tex]\frac{1}{5}[/tex] = [tex]\frac{100\pi }{5}[/tex] = 20π cm²
Sector OAB is congruent to sector ODC, thus
area of shaded regions = 2 × 20π = 40π in²
