7 of 177 of 17 Items 43:20 Question Find the area of the blue shaded region in the figure. Responses A 84 84 in 2 B 90 90 in 2 C 186 186 in 2 D 204
To find the area of the blue shaded region in the figure, we need to subtract the area of the smaller semicircle from the larger semicircle.
The area of a circle is given by the formula A = πr^2, and the area of a semicircle is half of that.
The radius of the larger semicircle is 7, so its area is (1/2) * π * (7)^2 = (1/2) * π * 49 = 24.5π.
The radius of the smaller semicircle is 4, so its area is (1/2) * π * (4)^2 = (1/2) * π * 16 = 8π.
Therefore, the area of the blue shaded region is 24.5π - 8π = 16.5π = 51.9.
The answer is not listed in the choices provided.