- #1

anemone

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MHB

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\begin{tikzpicture}

\draw (0,-3) rectangle (6,3);

\begin{scope} \draw (6,-3) arc (-90:-270:3cm); \end{scope}

\begin{scope} \draw (6,-3) arc (0:90:6cm); \end{scope}

\coordinate[label=above: A] (A) at (2,0);

\coordinate[label=above: B] (B) at (3.6,2.4);

\coordinate[label=above: C] (C) at (5.4,0.8);

\coordinate[label=above: D] (D) at (3.9,-1.2);

\end{tikzpicture}

The figure shows a square with a quarter circle and a semicircle inscribed in it. Given that the side of the square is 10 cm, find the combined areas of the regions labelled A and C.

Any hints, perhaps, on how to solve this seemingly simple geometry problem? This is a primary math problem, so one should refrain from using geometry or trigonometric method to solve it...any help is much appreciated!

\draw (0,-3) rectangle (6,3);

\begin{scope} \draw (6,-3) arc (-90:-270:3cm); \end{scope}

\begin{scope} \draw (6,-3) arc (0:90:6cm); \end{scope}

\coordinate[label=above: A] (A) at (2,0);

\coordinate[label=above: B] (B) at (3.6,2.4);

\coordinate[label=above: C] (C) at (5.4,0.8);

\coordinate[label=above: D] (D) at (3.9,-1.2);

\end{tikzpicture}

The figure shows a square with a quarter circle and a semicircle inscribed in it. Given that the side of the square is 10 cm, find the combined areas of the regions labelled A and C.

Any hints, perhaps, on how to solve this seemingly simple geometry problem? This is a primary math problem, so one should refrain from using geometry or trigonometric method to solve it...any help is much appreciated!

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