Question

The fountain is made up of two semicircles, the 2 semicircles have a radius of 10ft, and a quarter circle. Find the perimeter and the area of the fountain. Round the perimeter to the nearest tenth of a foot and the area to the nearest square foot.



You don't say how the parts are arranged. If no portion of the diameters overlaps. then just add all the semi-circle perimeters. Since you don't specify the radius of the quarter-circle, I'll assume that it is also 10 ft. Given all that, the perimeter is just
2*10 + 5 + 2*5π + 5π = 25+15π
The area would be
2*25π + 25/4 π = 225π/4

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