Question

The fountain is made up of two semicircles and a quarter circle. Find the area of the fountain. Round the area to the nearest square foot.

Answer 1

628 ft
area of big circle divided by 4 - 20*20*pi
area of small circle - 10*10*p
= 628

Answer 2

Radius of semi circles is 10 ft.

Area of semi circle is half the area of a normal circle.

Area of two semicircles: 1/2 * pi r^2 + 1/2 * pi r^2 = pi * r^2

So area of two semicircles with radius 10 ft = pi * 10^2 = 100 pi

Area of qtr circle: is quarter the area of a normal circle

Area of a quarter circle: 1/4 * pi r ^2

quarter circle has radius of 20 ft so area of it is 1/4 * pi * 20^2 = 100 pi

Total area = area of two semi + area of quarter
= 100pi + 100pi
= 200pi
≈ 628 ft²