+0

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).

Mar 12, 2021
edited by weredumbmaster22  Mar 12, 2021

#1
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The area is 32*pi - 32.

Mar 12, 2021
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Mar 12, 2021
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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

Mar 12, 2021