The vertices of a square are the centers of four circles as shown below. Given each side of the square is $6$ cm and the radius of each circle is $4$ cm, find the area in square centimeters of the shaded region
so we know that these four quarters of circles make up a full circle with a radius of 4 cm. So we need to find 36-(3.14*16-overlaping region). So the actual problem is finding the overlapping region. We know that the straight line under the overlapping part is 2, as 4+4-6=2. Can you carry on from there?