Question

Question #a9c2e

Answer 1

Yes, there is a way that you could construct a circle that has the exact same area as a triangle or quadrilateral. See explanation. (I used a perfect square for my explanation).

Explanation:

Yes, I believe so. the way you could do this is by making the lengths of the sides of the square as so that they derive from `pi`.

`A = pi r^2`

`A = l xx w`

`A = (bh)/2`

we could make the side lengths of the square `pi` units, and the other side the `"radius of the circle"^2`

`A = pi r^2`
`A = pi 4^2`
`=50.2655`

`A = l xx w`
`A = pi xx 16`
`=50.2655`

The same could be done with a Triangle.

`A = (bh)/2`
`A = (pi 32)/2`
`A = 100.531/2`