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Area Calculator

Calculate the area of a rectangle, circle, triangle, trapezoid, ellipse, and more — with formulas explained.

Our free area calculator works out the area of the most common shapes instantly. Select your shape, enter the dimensions, and the result updates as you type.

How to calculate the area of a rectangle

Area = length × width

For example, a rectangle 10 m long and 5 m wide has an area of 50 m².

How to calculate the area of a circle

Area = π × radius²

For example, a circle with a radius of 7 m has an area of π × 49 ≈ 153.94 m².

How to calculate the area of a triangle

Area = ½ × base × height

For example, a triangle with a base of 10 m and a height of 6 m has an area of ½ × 10 × 6 = 30 m².

How to calculate the area of a trapezoid

Area = ½ × (base a + base b) × height

Add the two parallel sides, multiply by the height, then divide by 2.

How to calculate the area of an ellipse

Area = π × a × b

Where a and b are the two semi-axes (half the width and half the height of the ellipse).

How to calculate the area of a parallelogram

Area = base × height

The height is the perpendicular distance between the two parallel bases, not the slant side length.

Frequently Asked Questions

What is area and how is it measured?
Area is the amount of 2D space enclosed within a shape. It is measured in square units — square metres (m²), square feet (ft²), square centimetres (cm²), etc. The unit is always the length unit squared.
What is the formula for the area of a rectangle?
Area = length × width. For example, a room that is 5 m long and 4 m wide has an area of 20 m².
What is the formula for the area of a circle?
Area = π × radius². For a circle with a radius of 7 cm: area = π × 7² ≈ 153.94 cm². If you know the diameter instead, divide it by 2 to get the radius first.
What is the formula for the area of a triangle?
Area = ½ × base × height. The height must be perpendicular to the base. For example, a triangle with a base of 10 cm and a height of 6 cm has an area of 30 cm².
What is the formula for the area of a trapezoid?
Area = ½ × (a + b) × h, where a and b are the lengths of the two parallel sides and h is the perpendicular height between them.
How do I calculate the area of an irregular shape?
Break the irregular shape into simpler shapes (rectangles, triangles, circles) whose areas you can calculate, then add them together. This technique is called decomposition and works for most irregular polygons and composite shapes.

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