The archway depicted needs to be painted. What is the area of the archway?

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The archway depicted needs to be painted. What is the area of the archway?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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what is the area of the triangle?

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what is the area of the whole circle? Imagine a full circle is swept out by the radius of 4
now divide that by 4 since the 90 degree arc measure means we have 90/360 = 1/4 of a circle
so the pie shaped piece is roughly 50.27/4 = 12.5675 in area the exact area is (16pi)/4 = 4pi
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I realize now that it's not a real semicircle, but it might help to think of it as one
anyways, the last thing you need to do is find the area of the rectangle, then subtract off the area of the "semicircle"
so is the answer 4? @jim_thompson5910
I'm getting 16.55-4pi if you type that into a calculator, you get 16.55-4pi = 3.98362938564082
Thank you!! I appreciate it so much :) @jim_thompson5910
np

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