Area Calculator

Lets first understand, what is area and how we can calculate the areas of various 2-D shapes?

Area is the quantity that expresses the extent of a 2-D shape in the plane.

Circle

A circle is a plane figure bounded by one curved line and such that all straight lines drawn from a certain point within it to the bounding line are equal. The bounding line is called its circumference and the point, its centre.

Let the Radius the Circle be \(R\) units.

Area will be \(\pi R^2\) square units.

The circle is the plane curve enclosing the maximum area for a given arc length.

Triangle

A triangle is a polygon with three edges and three vertices.

Any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Let the Base and Height be \(B\) and \(H\) units respectively.

Area will be \(\dfrac{1}{2}BH\) square units.

Square

A square is a regular quadrilateral, means that it has four equal sides and four equal angles.

Let the Side Length be \(L\) units.

Area will be \(L^2\) square units.

Rectangle

A rectangle is a quadrilateral with four right angles and with equal opposite sides.

Let the Length and Width be \(L\) and \(W\) units respectively.

Area will be \(LB\) square units.

When \(L=W\), the rectangle is a square.

Rhombus

A rhombus is a quadrilateral whose all four sides have the same length.

Let the two diagonals be \(P\) and \(Q\) units.

Area will be \(\dfrac{1}{2}\left(PQ\right)\) square units.

Parallelogram

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Let the Base and Height be \(B\) and \(H\) units respectively.

Area will be \(BH\) square units.

Let the two Adjacent Sides be \(A\) and \(B\) units,

and the Angle between the Adjacent Sides be \(\theta \).

Area will be \(AB\sin\theta \) square units.

Ellipse

An ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the fixed point is a constant. The fixed point is called focal points of the ellipse.

Let the lengths of semi-major and semi-minor axes be \(a\) and \(b\) respectively,

Area will be \(\pi ab\) square units.

For calculating areas of the various 2-D shapes using above area calculator, you have to just write the values in the given input boxes and press the calculate button, you will get the result.