How do you determine perimeter if given the area?

Answer 1

To find area given perimeter, rename perimeter to circumference and solve with these formulas:

Circumference = 2πr (or 2 * π * r)

Area = πr^2 (or π * r * r)

With these the area can be found from circumference(or perimeter) as follows:

A = π(C / 2π)^2

Now, to find the perimeter given the area;

We use A = πr^2 and rearrange then solve:

r = √(A / π)

So, the circumference would be 2πr = 2π√(A / π)

Answer 2

if it is a triangle it is 1/2 times the length of the base times the length of the height, if it is a square or rectangle it is the length times the width, if it is a circle it is pi times the radius squared

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In other words . . . You can'tdetermine the area from knowledge of the perimeter.

You need more information in addition to the perimeter. You also need to be told the

shape, and if it's not a circle, then you need to be given at least one dimension.

If given only the perimeter, then there are an infinite number of shapes that could

have that same perimeter, and for any shape that's not a circle, there are an infinite

number of that shape that could have the same perimeter.