Area Calculator
Use our free online area calculator to calculate the area of any common two-dimensional shape. Select your shape, enter the dimensions, and get the area instantly using the correct formula for area. This square meter calculator works for rectangles, squares, circles, triangles, and more.
How to Use This Area Calculator
Using this calculate area tool is simple:
- Select the shape you want to calculate
- Enter the required dimensions for that shape.
- Select your preferred unit of measurement.
- Click Calculate to instantly see the area in square units.
What Is an Area Calculator?
An area calculator is an online tool that calculates the size of a two-dimensional surface based on its dimensions. It applies the correct area formula for each shape automatically, so you do not need to do any manual calculations.
People use this tool to calculate area for geometry problems, flooring projects, land measurements, gardening, construction, and everyday tasks. This m2 calculator supports all standard units, including square meters, square feet, square yards, and square inches.
What Is Area?
Area is the amount of two-dimensional space that a shape occupies. It is expressed in square units such as square meters (m²), square feet (ft²), square centimeters (cm²), or square inches (in²).
The standard unit of area in the International System of Units is the square meter (m²). For land and property, area is commonly measured in square meters, acres, or hectares.
Area of a Rectangle
A rectangle is a four-sided shape with four right angles. Its area is found by multiplying its length by its width.
Rectangle Area Formula:
Where l is the length and w is the width.
Example: To calculate the area of a rectangle measuring 12 m long and 7 m wide, apply the formula A = 12 7, which results in an area of 84 m.
Area of a Square
A square is a special rectangle where all four sides are equal in length.
Area of a Square Formula:
Where a is the length of one side.
Example: For a square with a side length of 9 m, apply the formula A = 9², which results in A = 9 × 9 = 81 m².
Area of a Triangle
The area of a triangle is half the product of its base and height. When only the three side lengths are known, Heron's formula is used.
Triangle Area Formula (Base and Height):
Where b is the base and h is the perpendicular height.
For a triangle with a base of 10 m and a height of 6 m, the area (A) is calculated by first performing the operation A = (10 × 6) / 2. This calculation simplifies to A = 60 / 2, resulting in a final area of 30 m².
Heron's Formula (Three Sides Known):
s = (a + b + c) / 2
A = √(s × (s − a) × (s − b) × (s − c))
Example: A triangle with sides 5 m, 7 m, and 8 m.
- Step 1: s = (5 + 7 + 8) / 2 = 10
- Step 2: A = √(10 × (10 − 5) × (10 − 7) × (10 − 8))
- Step 3: A = √(10 × 5 × 3 × 2) = √300 = 17.32 m²
Area of a Circle
The area of a circle is calculated using its radius — the distance from the center to any point on the edge.
Circle Area Formula:
Where r is the radius and π ≈ 3.14159.
Example: A circle with a radius of 5 m.
- Step 1: A = π × 5²
- Step 2: A = 3.14159 × 25 = 78.54 m²
If you know the diameter instead of the radius, divide it by 2 first. A circle with a diameter of 10 m has a radius of 5 m.
Area of a Trapezoid
A trapezoid has one pair of parallel sides called bases. Its area is found by averaging the two bases and multiplying by the height.
Trapezoid Area Formula:
Where b1 and b2 are the two parallel bases, and h is the height.
Example: A trapezoid with bases of 8 m and 12 m and a height of 5 m.
- Step 1: A = ((8 + 12) / 2) × 5
- Step 2: A = (20 / 2) × 5 = 10 × 5 = 50 m²
Area of a Parallelogram
A parallelogram has two pairs of parallel sides. Its area is calculated from its base and perpendicular height.
Parallelogram Area Formula:
Where b is the base and h is the perpendicular height.
Example: A parallelogram with a base of 14 m and a height of 6 m.
- Step 1: A = 14 × 6 = 84 m²
Area of an Ellipse
An ellipse is an oval shape defined by two axes — a longer semi-major axis and a shorter semi-minor axis.
Ellipse Area Formula:
Where a is the semi-major axis and b is the semi-minor axis.
Example: An ellipse with a semi-major axis of 8 m and a semi-minor axis of 5 m.
- Step 1: A = π × 8 × 5
- Step 2: A = 3.14159 × 40 = 125.66 m²
Land Area Calculator
This calculator is also used as a land area calculator and land calculator for measuring plots of land, gardens, fields, and property boundaries.
For rectangular or square plots, simply enter the length and width in meters to get the area in square meters (m²). For irregular plots, divide the land into simpler shapes such as rectangles and triangles, calculate each area separately, and add the results together.
To convert square meters to other common land units:
| Unit | Conversion from m² |
|---|---|
| 1 hectare | 10,000 m² |
| 1 acre | 4,046.86 m² |
| 1 square foot | 0.0929 m² |
| 1 square yard | 0.836 m² |
| 1 square kilometer | 1,000,000 m² |
Area Formulas Reference Table
| Shape | Formula for Area |
|---|---|
| Rectangle | A = l × w |
| Square | A = a² |
| Triangle | A = (b × h) / 2 |
| Circle | A = π × r² |
| Trapezoid | A = ((b1 + b2) / 2) × h |
| Parallelogram | A = b × h |
| Ellipse | A = π × a × b |
| Sector | A = (θ / 360) × π × r² |
FAQs
What is an area calculator?
An area calculator is an online tool that calculates the two-dimensional space of a shape using the correct area formula based on the dimensions you enter.
What is the rectangle area formula?
The area of a rectangle is A = l × w, where l is the length and w is the width. For example, a rectangle 12 m long and 7 m wide has an area of 84 m².
How do I calculate the area of a square?
Multiply the side length by itself: A = a². A square with a side of 9 m has an area of 81 m².
What is the formula for the area of a circle?
The area of a circle is A = π × r², where r is the radius. For example, a circle with a radius of 5 m has an area of approximately 78.54 m².
What is a square meter calculator?
A square meter calculator finds the area of a shape in square meters (m²). It is commonly used for flooring, tiling, painting, and land measurement projects.
How do I find the area of land?
For rectangular land, multiply the length by the width. For irregular plots, divide the land into rectangles and triangles, calculate each area, and add the results together.
What is the difference between area and perimeter?
Area measures the space inside a shape, expressed in square units. Perimeter measures the total length of the boundary of a shape, expressed in linear units.
How do I convert square meters to acres?
Divide the area in square meters by 4,046.86 to get acres. For example, 8,094 m² equals approximately 2 acres.
What is a land area calculator?
A land area calculator is an online tool used to measure the area of a plot of land in square meters, acres, hectares, or square feet based on its dimensions or boundary points.
Is this area calculator free?
Yes. Our online area calculator is completely free with no sign-up required.