What is area?
Area is the amount of flat surface inside a two-dimensional shape. It is measured in square units such as cm^2, m^2, or ft^2.
Math Calculator
Area Calculator - Calculate Square, Rectangle, Triangle and Circle Area
Use this area calculator to find the area of common geometric shapes such as squares, rectangles, triangles and circles. Results are calculated instantly from the dimensions you enter.
Area Calculator
Area Calculator
An area calculator helps you measure the surface covered by a two-dimensional shape. Instead of calculating each formula by hand, choose the shape, enter the required dimensions, and read the result in square units. It is useful for geometry homework, room planning, flooring estimates, garden layouts, and quick everyday measurements.
Area is different from the length around a shape. It tells you how much flat space is inside the boundary, so the answer is written in units such as square centimeters, square meters, square feet, or square inches.
How to Calculate Area
The first step is to identify the shape correctly. A square needs one side length, a rectangle needs length and width, a triangle needs base and height, and a circle needs radius. Use the same unit for every dimension before applying the formula. If one measurement is in meters and another is in centimeters, convert them first.
Square Area Formula
Area = side x side
For a square with a side length of 6 m, the area is 6 x 6 = 36 m^2.
Rectangle Area Formula
Area = length x width
For a rectangle that is 8 m long and 5 m wide, the area is 8 x 5 = 40 m^2.
Triangle Area Formula
Area = base x height / 2
For a triangle with a 10 cm base and an 8 cm height, the area is 10 x 8 / 2 = 40 cm^2.
Circle Area Formula
Area = pi x radius^2
For a circle with a radius of 7 cm, the area is approximately 153.94 cm^2 when pi is rounded to 3.1416.
Common Area Units
Area is always expressed with squared units. If the side lengths are in meters, the result is square meters. If the measurements are in centimeters, the result is square centimeters. Common units include mm^2, cm^2, m^2, km^2, in^2, ft^2, and yd^2.
Remember that area conversion is squared. For example, 1 m equals 100 cm, but 1 m^2 equals 10,000 cm^2. This is one of the most common mistakes in area problems.
Area Calculator Examples
If you are measuring a room for flooring, multiply the room length by the width to estimate square meters. If you are solving a triangle question, use the perpendicular height rather than a slanted side. For circular surfaces such as a table top or garden bed, measure the radius or divide the diameter by two before using the circle formula.
Frequently Asked Questions
The FAQ below covers the most common area calculation questions, including formulas, units, square meters, and the difference between area and perimeter.
Frequently Asked Questions
How do you calculate the area of a square?
Multiply one side by itself. The square area formula is side x side.
How do you calculate the area of a rectangle?
Multiply length by width. For example, an 8 m by 5 m rectangle has an area of 40 m^2.
How do you calculate the area of a triangle?
Multiply the base by the perpendicular height and divide by 2.
How do you calculate the area of a circle?
Use pi x radius squared. If you know the diameter, divide it by 2 to get the radius first.
What units are used for area?
Area uses squared units, such as square millimeters, square centimeters, square meters, square inches, and square feet.
Can I calculate area in square meters?
Yes. Enter dimensions in meters and the result will be interpreted as square meters.
Is this area calculator free?
Yes. The area calculator is free to use and runs directly in the browser.
Does the calculator show the formula?
The page explains the main formulas for squares, rectangles, triangles, and circles so you can understand how each result is produced.
What is the difference between area and perimeter?
Area measures the surface inside a shape, while perimeter measures the distance around its outer boundary.