Answer:
shaded area = 24.5π -49
Step-by-step explanation:
The area of a segment of a circle is given by the formula ...
A = 1/2r²(θ -sin(θ))
Here, the radius of the circle is (7 cm)/2 = 3.5 cm, and the angle of interest is π/2 radians.
There are 8 segments of this size in the shaded area, so we have ...
shaded area = 8(1/2)(3.5 cm)²(π/2 -sin(π/2))
shaded area = 24.5π -49
