A geometry problem by Ajay Sambhriya

Geometry Level 3

The above shows a rectangle and two circles of radius 4 drawn such that both circles pass through

  • the midpoints of sides AB and CD of rectangle ABCD

  • the vertices of rectangle ABCD (2 vertices for each circle)

  • the center of the other circle.

Find the area of this rectangle.

Give your answer to 2 decimal places.


The answer is 55.42.

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Ajay Sambhriya by Ajay Sambhriya , 27, India

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1 solution

Ajay Sambhriya
Jan 5, 2017

4 Helpful 0 Interesting 0 Brilliant 0 Confused

Nice setup.

The written solution is missing some detail, which is sortof expressed in the image. Specifically, can you add in a written line explaining why A M = M B = r AM = MB = r ? Thanks!

Calvin Lin Staff - 4 years, 5 months ago

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