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# help

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The cyclic quadrilateral in the circle shown above is a square. The diameter of the circle is 5. Find the area of the green region.

Jul 2, 2020

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Since the square and the circle, share teh circle's diameter, the diagonal of the square is also 5. Therefore the length of the side of the square is $$\frac{5}{√2}$$. So the area of the square is $$(\frac{5}{√2})^2$$ which equals $$\frac{25}{2}$$.

Next, we figure out the area of the circle. Since the diameter is 5, the radius is $$\frac{5}{2}$$. The area is pi multiplied by the radius sqaured.

So it would be 3.14 (In class, my teacher taught us to use 3.14 as pi) times $$\frac{25}{4}$$which equals at the end, 19.625! If it is incorrect, try typing the answer in terms of pi, see if that helps, or I might've done something wrong.

Jul 2, 2020