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jmc

geometry junior

Problem

A quarter-circle of radius 3 units is drawn at each of the vertices of a square with sides of 6 units.
problem
The area of the shaded region can be expressed in the form square units, where and are both integers. What is the value of
Solution
The area of the square is square centimeters. The area of the four quarter-circles with radius 3 is equivalent to the area of one circle with radius 3, or So, the area of the shaded region is Thus, and so
Final answer
45