Find the area of the figure to the nearest tenth

A. 8.2 in. 2

B. 74.2 in. 2

C. 148.4 in. 2

D. 23.6 in. 2

A. 8.2 in. 2

B. 74.2 in. 2

C. 148.4 in. 2

D. 23.6 in. 2

That’s a part of a circle that has a radius of 9 inches.

Area of any circle = (pi) x (radius)²

Area of the full circle that this is a piece of = (pi) x (9)² = (81 pi) square inches.

That’s the whole circle. How much of the whole circle is in the picture?

A whole circle has 360 degrees in the middle. This piece has 105 degrees in the middle.

This piece is ( 105/360 ) of the whole circle.

So the area of the piece is (105/360) x (81 pi) = **74.22 square inches** (rounded)

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