Spike's Calculators

# Ellipse - Metric

Calculate the area and perimeter of an ellipse.
This calculator uses metres for measurements.

Ellipse = squashed circle.

### Ellipse Area and Perimeter - Metric

Length a m
Length b m
Decimal Precision

#### Results:

###### Area of the Ellipse
Square Metres
Square Feet ft²
Square Inches in²
Metres m
Feet ft
Inches in

#### Calculation

1. length a in metres
2. length b in metres
3. decimal precision, the number of digits after the decimal point

#### Results

1. the area of the ellipse in square metres
2. area in square feet
3. the area in square inches
4. the perimeter of the ellipse in metres
5. the perimeter in feet
6. the perimeter in inches

##### Formula
```A = ab/4
P = 𝛑R(1+(3H)/(10+√(4-3*H)))
where A is the area of the ellipse
a length of the short diameter
b length of the l diameter
P the perimeter of the ellipse
𝛑 = 3.14159265
R = (a+b)/2
S = (a-b)/2
H = R²/S²

```

##### Conversions
```one metre (m) = 3.28083989501312 feet (ft)
one metre (m) = 39.3700787401575 inches (in)
one square metre (m²) = 10.7639104167097 square feet (ft²)
one square metre (m²) = 1550.0031000062 square inches (in²)
```