Changing a Circle to an Oval

This calculator converts a circle into an oval area of the same size (the oval results have the same area as the circle).

Calculation

1. enter the diameter of a circle
2. the length of the short axis of the oval
3. decimal precision, the number of digits after the decimal point

Results

1. radius of the circle
2. the area of the circle
3. the perimeter of the circle (circumference)
4. the long axis length of the oval
5. perimeter of the oval

Circle Formula's

Radius

R = D ÷ 2

where R = radius, D = diameter
Area;

A = π * D² ÷ 4

where A = area, π = 3.14159..., D = diameter

Circumference;

C = 2 * π * D ÷ 2

where C = circumference, π = 3.14159...., D = diameter

Oval Formula's

Area

A = π * la * sa ; ÷ 4

Long Axis

La = (A / (π * (Sa ÷ 2))  * 2

where La = long axis, A = area, π = 3.14159...., Sa = short axis

Perimeter

S =  Sa ÷ 2 ,  L = La ÷ 2

Pa = (S  + L) * 3

Pb = ((3 * L + S) * (L + 3 * S))² 

P = π * (Pa - Pb)

where P = perimeter, La = long axis, π = 3.14159...., Sa = short axis