Express the circle area in terms of the isosceles triangle area A and its side length a.

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## Solution

The circle area is πa^{6}/(16A^{2}).

geometry puzzles

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- Post author By Marshall W. Buck
- Post date June 5, 2023
- 3 Comments on Launch the ball

## 3 replies on “Launch the ball”

The problems seems undetermined (or I a missing something). You can vary the length a of the line segment without changing the size of the circle.

The area needs to be expressed in both a and A.

So your observation is not necessarily a problem, since the change in a can be counterbalanced by that in A to keep the circle constant.

I liked this because I had not seen a 6-th power in an answer before.