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| Math Central | Quandaries & Queries |
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astrogirl, a student: find the shape and area of the largest rectangle that can be inscribed in a circle of a diameter a=2 |
Hi Astrogirl,
If the rectangle is inscribed in a circle, then each corner is touching the circle. Since the diameter is 2, this will also be the diagonal of the rectangle:
Using Pythagoras' Theorem, length2+width2=22. Now you need to maximize the equation.
Hope this helps,
Janice
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