Answer:
1st option
Step-by-step explanation:
the area of the shaded portion is calculated as
area of sector - area of white Δ
area of sector = area of circle × fraction of circle
= πr² × [tex]\frac{90}{360}[/tex] ( r is the radius )
= π × 8² × [tex]\frac{1}{4}[/tex]
= 64π × [tex]\frac{1}{4}[/tex]
= 16π in²
area of Δ = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = h = 8
area of Δ = [tex]\frac{1}{2}[/tex] × 8 × 8 = [tex]\frac{1}{2}[/tex] × 64 = 32 in²
then
area of shaded portion = (16π - 32 ) in²
