It's swimming time!

Geometry Level 2

A swimming pool in the shape of a circle (as shown above) is to be built in a corner of a square. Before the construction begins, the contractor must know the values of \(a_1\) and \(a_2\). If you are the contractor, what is \(a_1+a_2\)?

Details:

  1. \(20\) feet is the radius of the circle.

  2. Both \(a_1\) and \(a_2\) are perpendicular to one side of the square.

  3. Give your answer in feet.

  4. The swimming pool touches the two sides of the square.

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