A circle has an 18 inch radius and a shaded sector with a central angle of 50 degrees. What is the area of the shaded sector

Question

Mathematics

Gavyn Brewer

25 October, 13:32

A circle has an 18 inch radius and a shaded sector with a central angle of 50 degrees. What is the area of the shaded sector

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Maggie · Answer 1

Answer: The area of the sector will be about 141.3 square inches.

First, we need to find the area of the entire circle. The formula is pi (r^2). Inputting 18 for the radius makes the area of the circle about 1017.36 square inches.

Now, we multiply by the area by the size of the sector. It is 50 degree out of the entire 360 degrees. That is about 13.9%.

Multiply 13.9% by 1017.36 to get an area of about 141.3 square inches for the sector.