guys im stuck at this simple question.... but im stuck 4 identical sectors with radius 12cm are drawn inside a square. find the shaded area. please help. a lot of thx.
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Originally Posted by coolabear guys im stuck at this simple question.... but im stuck 4 identical sectors with radius 12cm are drawn inside a square. find the shaded area. please help. a lot of thx. I've modified your drawing a little bit: 1. Use the blue right triangle to calculate the diagonal of the inner square. 2. The area marked red is the difference between a sector $\displaystyle (r = 12, \phi = 30^\circ)$ and an isosceles triangle.
My result: $\displaystyle A=\frac12 \left(12(\sqrt{3} - 1) \right)^2 + 4 \cdot (12 \pi -36)$ But check my arithmetic!
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