Question

A circular plot with a 160 foot diameter is watered by a spray irrigation system. To the nearest square foot, what is the area that is watered as the sprinkler rotates through a semicircle?
The area watered is ≈ _____ ft2.

Answer 1

A circular plot is watered by a sprinkler that rotates through it. The sprinkler only rotates through a semi-circle, or half of the whole circle.

Area of a circle: A = pi x r^2

r = 160 / 2 = 80

A = pi x 80^2

A = 6400pi / 2 = 3200pi

3200pi = 10053.0965

The area water is approximately 10,053 ft^2.

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