02 Area bounded by arcs of quarter circles

Three Different Ways of Finding the Area Bounded by Arcs of Quarter Circles

Example 02
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 02


Another Solution


Solution by Calculus



you can solve this without any use of trigonometry, just triangles (pythagorean theorem) and the area of a circle.

Jhun Vert's picture

You may take a picture of your solution and upload it here. Tnx.