Spike's Calculators

# Quatrefoil - Metric

Calculate the area and perimeter of a quatrefoil.

This calculator uses metres for measurements.

Quatrefoil = diameter of the four inscribed circles equal to the radius of the circumscribed circle

###### Note:
`Quatrefoils come in different shapes. The calculations here are based on four circles inside a larger circle (see image)!`

### Quartrefoil Area and Perimeter - Metric

Diameter of the Circumscribed Circle m
Decimal Precision

#### Results:

Area of the Outer Circle
###### Area of the Quartrefoil
Square Metres
Square Feet ft²
Square Inches in²
Metres m
Feet ft
Inches in

#### Calculation

1. the diameter of the circumscribed circle
2. decimal precision, the number of digits after the decimal point

#### Results

1. the area of the circumscribed circle in square metres
2. the area of the quatrefoil in square metres
3. the area in square feet
4. the area in square inches
5. the perimeter of the quatrefoil in metres
6. the perimeter in feet
7. the perimeter in inches

##### Formula
```A =r²+2 (𝛑r²/4)
where A is the area of the quatrefoil
r the radius of the circumscribed circle
the quatrefoil's perimeter is equal to the circumference of the circumscribed circle
```

##### 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)
```