Answer:
≈ 18.3 m²
Step-by-step explanation:
The shaded area (A) is calculated as
A = area of sector - area of right triangle
area of sector = area of circle × fraction of circle
A = πr² × [tex]\frac{90}{360}[/tex]
= π × 8² × [tex]\frac{1}{4}[/tex] = 64π × [tex]\frac{1}{4}[/tex] = 16π m²
area of triangle = [tex]\frac{1}{2}[/tex] × 8 × 8 = 4 × 8 = 32 m²
shaded area is then
A = 16π - 32 ≈ 18.3 m² ( to the nearest tenth )
