## Area calculation for 2D shapes.

### What is an Area?

In Geometry, the definition of Area is the space occupied by the two dimensional figure. As per International System of Units (SI Units) the unit to measure the Area is Square units; such as Square meter, Square inches, Square Centimeter, etc.,

#### Rectangle

A Rectangle is a two dimensional shape having 4 sides. The opposite sides of rectangle have the same lenghts and parallel.

The longer side is called as length and the smaller side is called as width.

The Area of the Rectangle is calculated as;

Area of the Rectangle = length x width

#### Square

A Square is also a two dimensional shape having 4 sides. Compare to Rectangle, the sides of the Square are same.

The Area of the Square is calculated as;

Area of the Square = side x side

#### Triangle

A Triangle is a two dimensional shape having 3 sides. Triangle can be categorized based on the length of its sides;

- Equilateral triangle - having all sides are same in length.
- Isosceles triangle - having two sides are in same length and another side having different length.
- Scalene triangle - all sides are in different length.

The Area of the Triangle is calculated as;

Area of the Triangle = √( p(p-a)(p-b)(p-c))

a,b,c = three sides of the Triangle

p = perimeter of the Triangle

p = (a+b+c)/2

#### Circle

A Circle is simple closed two dimensional shape having no corners. The distance from the center point of the circle to any point in its perimeter is same and it is called as radius.

The Area of the Circle is calculated as;

Area of the Circle = πr^{2}

r = radius

To calculate all different properties of a Circle, please try our Circle Calculator.

#### Sector

A Sector is basically a proportion of a circle. It is having two sides as radius and one side as arc. Given the radius and the angle the Area of the Sector can be calculated.

The Area of the Sector is calculated as;

Area of the Sector = (angle/360) x πr^{2}

r = radius

#### Parallelogram

A Parallelogram is having two pairs of parallel sides. Rectangle, Squares are the special cases of parallelogram.

The Area of the Parallelogram is calculated as;

Area of the Parallelogram = base x height

#### Ellipse

An Ellipse is a form of circle and a curve in a plane. It is having one Major axis and one Minor axis.

The Area of the Ellipse is calculated as;

Area of the Ellipse = π x Semi Major Axis x Semi Minor Axis