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Five congruent circles overlap. A line is drawn connecting the bottom of the first circle to the top of the fifth circle. The area enclosed by the circles under the line is shaded gold.

The overlapping areas of two circles each have an area of 5, and the gold area is 35.

Find the area of one circle.

 

 May 6, 2020
 #1
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Neat question.

Easy when you see the method.

Easy enough to do in your head.

 May 7, 2020
 #2
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The area of a single circle is             (35*2 + 5*4) / 5 = 18    wink

 May 7, 2020

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