In the figure below, $O$ is the center of the circle, and the radius of the circle is $8$. Angle $\angle BOA$ is right. What is the area of

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In the figure below, $O$ is the center of the circle, and the radius of the circle is $8$. Angle $\angle BOA$ is right. What is the area of

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22. In the figure below, O is the center of the circle, and the radius of the circle is 8. Angle BOA is right. What is the area of the filled-in (purple) region?

Give your answer in exact form (which may involve pi). In other words, don't round off (but do simplify if you can).

weredumbmaster22 Mar 12, 2021

edited by weredumbmaster22 Mar 12, 2021

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Guest · Answer 1 · 2021-03-12T12:36:02

The area is 32*pi - 32.

weredumbmaster22 · Answer 2 · 2021-03-12T12:38:17

Question is asking about purple filled region not the area..

CPhill · Answer 3 · 2021-03-12T01:11:00

Area of sector AOB = pi (8)^2 (90/360) = 16pi

Atea of triangle AOB = (1/2) (8)^2 = 32

Purple area = 16pi - 32 = 16 (pi - 2) units^2

In the figure below, $O$ is the center of the circle, and the radius of the circle is $8$. Angle $\angle BOA$ is right. What is the area of

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In the figure below, $O$ is the center of the circle, and the radius of the circle is $8$. Angle $\angle BOA$ is right. What is the area of

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