What is the red area? |

Here is the real question: Does it matter if the circles are congruent, as long as they're tangent and the centers are at the vertices of the square?

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A Saturday #Geometry Delight
#SATPrep #mathchat @intmath @JustinAion @Fouss @PDCorner @MathCurmudgeon @bowenkerins pic.twitter.com/V6zcjOfrqW
— David Marain (@dmarain) July 11, 2015
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Nice extension, great diagram (Geogebra!) and thanks for the mention! While the area of the square would be constant, (R+r)²/2, the sum of the areas of the quarter-circles would involve the factor R²+r² which isn't constant. Am I missing something?

ReplyDeleteNot missing anything. Those parentheses matter.

ReplyDelete