Question

Find the total area of the figure where A is the center and PA = 8in. Leave answer in terms of pi

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Answer 1

`48\pi`

Explanation:

The figure is 270 degrees. A circle is 360 degrees and 270 is only 75% of this. Very important.

PA is the radius, so it is 8 inches.

Formula for area of a circle:
`A = \pi r^2`

Solve for the area of the whole circle:

`A = \pi (8)^2 = 64\pi`

Since the circle is only 75%, that is 0.75

Multiply full area by 0.75 to get 75% of the area.

`64\pi *0.75 = 48\pi`

Hope this answer helped! :)