Due May 23

This problem requires geometry and trigonometry. We consider this to be a very hard problem, worth 25 points. Send answers and questions to mathstat@uoguelph.ca

The figure below shows two intersecting circles of radius 1 meter. How far apart must the centers of the circles be to have the area of intersection be one square meter? Please answer to three decimals accuracy.

Hint: I had to solve an equation by graphing in my solution. Props if you can find an exact solution.

Send your answer to mathstat@uoguelph.ca

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