Ellipse Calculator

Ellipse Calculator lets you ellipse area is πab and perimeter uses Ramanujan’s approximation. Enter your own values or load the worked example.

Method and calculation

Ellipse area is πab and perimeter uses Ramanujan’s approximation.

Inputs and settings

Ellipse Calculator accepts Semimajor radius (minimum 0.000001); Semiminor radius (minimum 0.000001).

Worked example

Ellipse Calculator example — Semimajor radius: 6; Semiminor radius: 4. Computed output: { "area": 75.39822368615503, "approximatePerimeter": 31.730879178502466 }

Output and limitations

Ellipse Calculator: Use finite inputs. Results use double-precision arithmetic.

Technical references: JavaScript numerical operations

Ellipse Calculator FAQs

Ellipse Calculator applies the following rule to your input: Ellipse area is πab and perimeter uses Ramanujan’s approximation. The worked example on this page uses the same processor as the result button.
Ellipse Calculator has these boundaries: Use finite inputs. Results use double-precision arithmetic. Start by checking the semimajor radius field against the units or format shown.
Ellipse Calculator provides this sample: { "area": 75.39822368615503, "approximatePerimeter": 31.730879178502466 }. Use the sample button to reproduce it, then replace the inputs with your own values.