Answer: 3pi/2
This is equivalent to 1.5pi
The units for the area are in square centimeters.
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Work Shown:
The larger semicircle has radius 2 cm.
So r = 2 is plugged into the area of a semicircle formula below
A = (pi*r^2)/2
A = (pi*2^2)/2
A = (4pi)/2
A = 2pi
The area of the larger semicircle is 2pi square cm.
Repeat those steps but now use r = 1. This will compute the area of the unshaded smaller semicircle
A = (pi*r^2)/2
A = (pi*1^2)/2
A = pi/2
The area of the smaller unshaded semicircle is pi/2 square cm.
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From here, we subtract the two results to get the shaded area:
(larger semicircle area) - (smaller semicircle area) = (2pi) - (pi/2) = 3pi/2
This is equivalent to 1.5pi since 3/2 = 1.5
