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What is the area of the purple region? *

What is the area of the purple region? *-example-1
User Keymone
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1 Answer

4 votes

Answer:

49pi or about 153.94 square meters.

Explanation:

Because the two semicircles together take up the 28m long edge of the rectangle, they each half that diameter and a quarter of that radius. This means that both semicircles have a radius of 28/4=7. Since two semicircle with the same radius form a full circle, we can just calculate the area of a full circle of radius 7.
\pi \cdot 7^2=49\pi\approx 153.94. Hope this helps!

User Alvaro Prieto
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4.3k points