# Area Calculator

Area Calculator computes the area for the given geometrical shape in square units. Area is defined as the space enclosed within the boundaries of a two-dimensional shape. There are different formulas for calculating the area of various 2-D figures.

## What is Area Calculator?

Area Calculator is an online tool that helps to calculate the area of a circle, square, triangle, rectangle, and quadrilateral. The area of any object is expressed as square units. To use this * Area Calculator*, enter the values in the input boxes.

### Area Calculator

## How to Use Area Calculator?

Please follow the steps below to find the area using the online area calculator:

**Step 1:**Go to Cuemath’s online area calculator.**Step 2:**Choose a shape from the drop-down menu and enter the values in the input boxes of the area calculator.**Step 3:**Click on the**"Calculate"**button to find the area.**Step 4:**Click on the**"Reset"**button to clear the fields and enter new values.

## How Does Area Calculator Work?

The geometrical shapes whose area can be computed using the calculator are given below:

**1. Area of a triangle:** A triangle is a closed polygon with 3 angles, 3 vertices, and 3 sides. The area of a triangle is equal to half of the base times height. The formula to calculate the area of a triangle is:

Area of a triangle = 1 / 2 × (base × height) square units.

**2. Area of a square: **A square is a closed two-dimensional shape with four equal sides and four right angles. The area is equal to the square of its side length. The formula to calculate the area of a square is:

Area of a square = side × side = s^{2} square units.

**3. Area of a rectangle:** A rectangle is a figure in which the opposite sides are parallel and equal in length. Further, all its angles measure 90 degrees. The area of a rectangle is equal to the length times its width. The formula to calculate the area of a rectangle is:

Area of a rectangle = (Length × width) square units

4. **Area of a quadrilateral: **A quadrilateral is a closed shape that is obtained by joining four points among which any three points are non-collinear. The formula to calculate the area of a quadrilateral is:

Area of a quadrilateral = diagonal × (sum of the heights) square units

5. **Area of a circle: **The curve traced by a point moving with respect to a fixed point is known as a circle. The formula to calculate the area of a circle is:

The area of a circle = π r^{2} square units

Where r is the radius of the circle and π is a constant that takes the value 3.14 or 22/7.

## Solved Examples on Area

**Example 1:** Find the area of a triangle if height = 4 units and base = 5 units and verify it using the area calculator.

**Solution:**

Given: height = 4 units and base = 5 units

The area of a triangle = 1 / 2 × base × height

= 1 / 2 × 5 × 4

= 10 square units

**Example 2:** Find the area of a circle whose radius is 5 units and verify it using the area calculator.

**Solution:**

Given: r = 5 units

The area of a circle = π r^{2}

= 3.14 × 5^{2}

= 78.5 square units

Similarly, you can try the area calculator to find the area for:

- Square whose side a = 2 units
- Rectangle whose length = 8 units and breadth = 7 units

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