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Question-227198




Question Number 227198 by Hanuda354 last updated on 05/Jan/26
Commented by Hanuda354 last updated on 05/Jan/26
Given a square with four semicircles and a quarter circle, where the blue  point is on the top of the smaller semicircle on bottom right.  Determine the area of the shaded region (purple area).
$$\mathrm{Given}\:\mathrm{a}\:\mathrm{square}\:\mathrm{with}\:\mathrm{four}\:\mathrm{semicircles}\:\mathrm{and}\:\mathrm{a}\:\mathrm{quarter}\:\mathrm{circle},\:\mathrm{where}\:\mathrm{the}\:\mathrm{blue} \\ $$$$\mathrm{point}\:\mathrm{is}\:\mathrm{on}\:\mathrm{the}\:\mathrm{top}\:\mathrm{of}\:\mathrm{the}\:\mathrm{smaller}\:\mathrm{semicircle}\:\mathrm{on}\:\mathrm{bottom}\:\mathrm{right}. \\ $$$$\mathrm{Determine}\:\mathrm{the}\:\mathrm{area}\:\mathrm{of}\:\mathrm{the}\:\mathrm{shaded}\:\mathrm{region}\:\left(\mathrm{purple}\:\mathrm{area}\right).\: \\ $$
Answered by fantastic2 last updated on 06/Jan/26
Commented by Hanuda354 last updated on 06/Jan/26
Thanks
$$\mathrm{Thanks} \\ $$

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