Example 8 | Area bounded by arcs of quarter circles

Problem
Arcs of quarter circles are drawn inside the square. The center of each circle is at each corner of the square. If the radius of each arc is equal to 20 cm and the sides of the square are also 20 cm. Find the area common to the four circular quadrants. See figure below.
 

Area common to four quarter circles

 

Solution

 
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