Answer:
The answer is option c) 56.5 ft²
Step-by-step explanation:
Area of shaded region =
Area of Big Circle - ( Area of 1st small circle+ Area of 2nd small circle )
Area of 1st small circle:
π x r²
r = 3ft
Area = 3.14 x 3 x 3 => 28.26 ft²
Area of 2st small circle:
π x r²
r = 3ft
Area = 3.14 x 3 x 3 => 28.26 ft²
Area of big circle:
π x r²
r = 6ft ( ∵ Diameter of 1st small circle = 6 and since 2 small circles have equal area, their diameter should be the radius of big circle )
Area = 3.14 x 6 x 6 => 113.04 ft²
Area of shaded region => 113.04 - (28.26 + 28.26 )
=> 113.04 - 56.52
=> 56.52 ft²
