# Stadium Calculator

## Stadium Shape

r = radius

a = length side a

A = area

P = perimeter

π = pi = 3.1415926535898

## Calculator Use

Use this calculator to calculate physical values related to the shape of a stadium. A geometric stadium shape is a circle of radius r that has been cut in half through the center and the 2 ends are then separated by a rectangle of height r and width (or side length) of a. Calculations are essentially a combination of calculations for a combined circle and rectangle.

## Stadium Formulas in terms of radius r and side a: (π = Pi)

### Area of a stadium:

A = πr^{2} + 2 * r * a

### Perimeter of a stadium:

P = 2 * (πr + a)

## Stadium Calculations:

Use the following additional formulas along with the formulas above.

- Given the radius and side of a stadium calculate the area and perimeter

Given r, a find A, P- use the formulas above

- Given the radius and area of a stadium calculate the side and perimeter

Given r, A find a, P- a = (A - (πr
^{2})) / (2 * r)

- a = (A - (πr
- Given the radius and perimeter of a stadium calculate the side and area

Given r, P find a, A- a = (P / 2) - (πr)

- Given the side and perimeter of a stadium calculate the radius and area

Given a, P find r, A- r = (P / 2π) - (a / π)