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3 years ago

A triangle is placed in a semicircle with a radius of 9ft, as shown below. Find the area of the shaded region.

Mathematics

1 answer:

Arturiano [62]3 years ago

3 0

The height is given as 9 ft. this is also the radius of the circle.

The base of the triangle would be 2 times the radius = 18 feet.

The area of the triangle is 1/2 x 9 x 18 = 81 square feet.

The area of the semi circle is : 1/2 x PI x r^2 = 1/2 x 3.14 x 9^2 = 127.17

The area of the shaded region is the area of the triangle minus the area of the semi circle:

127.17 - 81 = 46.17 square feet.

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