7th Grade Challenging Math

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7-63)   Answer

          35.8cm^2
 

Solution:

From problem 7-62) we know the the area of the large square is 200cm^2. 

The diameter of the circle is square root of 200.

Area in blue = (200-3.14*(200/2^2))/2 = 21.5cm^2

Area in orange = (3.14*(200/2^2)-10*10)/4 = 14.3cm^2

Therefore the area of the purple part is 21.5 + 14.3 = 35.8cm^2