# Math Help - Simple Geometry

1. ## Simple Geometry

guys im stuck at this simple question.... but im stuck

4 identical sectors with radius 12cm are drawn inside a square.

2. 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.

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 $(r = 12, \phi = 30^\circ)$ and an isosceles triangle.

$A=\frac12 \left(12(\sqrt{3} - 1) \right)^2 + 4 \cdot (12 \pi -36)$