Answer:
141.3m^2
Explanation:
We have radius = 8
Area of a sector of circle = πr^2(θ/360º)
A = π x 8^2 x (270/360) = 48π
Smaller circle has radius equal to 1/4 of large circle's radius = 8/4 = 2
A = π x 2^2 x (270/360) = 3π
Area of the shape = 48π - 3π = 45π = 45(3.14) = 141.3m^2