# Area and Perimeter

# Polygon ( Regular) - Metric

Calculate the area and perimeter of a polygon. Polygons with all sides the same length and all angles of the same size are called regular polygons. Regular polygons are named according to the number of sides they have.

This calculator uses metres for measurements.

Regular polygon = a shape with three or more equal-length sides. A polygon can have an infinite number of sides. The apothem is the measurement from the midpoint of a side to the centre of the regular polygon.

### Polygon Area and Perimeter - Metric

#### Calculation

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

#### Results

- the length of the apothem
- the area of the polygon in square metres
- the area in square feet
- the area in square inches
- the perimeter of the polygon in metres
- the perimeter in feet
- the perimeter in inches

##### Formula

q = s/(2tan(𝝅/n))
A = qsn/2
where q is the length of the apothem
s the length of a side
n the number of sides in the regular polygon
A the area of the polygon

##### 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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