7th Grade Challenging Math

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7-37)   Answer

            18.75%

Solution:
Area of the purple region = 3.14 * 2 * 2 - 3.14 *1 *1

Area of the largest circle = 3.14 * 4 * 4

Therefore,

3.14 * 2 * 2 - 3.14 *1 *1         3.14 * (4-1)        3
---------------------------------- = ----------------- = ------ = 18.75%
3.14 * 4 * 4                            3.14 * 16           16