# Area and Perimeter

# Pentagram - Metric

Calculate the area and perimeter of a pentagram.

This calculator uses metres for measurements.

Pentagram = a five-pointed star that is formed by drawing the diagonals in a pentagon.

### Pentagram Area and Perimeter - Metric

#### Calculation

- the length of a side in metres
- decimal precision, the number of digits after the decimal point

#### Results

- the area of the pentagram in square metres
- the area in square feet
- the area in square inches
- the perimeter of the pentagram in metres
- the perimeter in feet
- the perimeter in inches

##### Formula

A = √5(5-2√5w²/2
P = v*10
where A is the area of the pentagram
P the perimeter of the pentagram
v = s/((1+√5)/2)
u = v/((1+√5)/2)
w = v+u
s the length of a side

##### 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)

### Area and Perimeter of Various Shapes

### Changing the shape of an Area

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