Area Calculator
Visually calculate the area of common geometric shapes. Enter the dimensions to get the area instantly.
Area = Length × Width
How to Calculate Rectangle Area
The area of a rectangle is found by multiplying its length by its width. This formula calculates the total two-dimensional space the shape occupies.
Formula: Area = Length (l) × Width (w)
Area = Side × Side (s²)
How to Calculate Square Area
A square is a special type of rectangle where all four sides are equal. Its area is the side length multiplied by itself (squared).
Formula: Area = Side (s) × Side (s) or s²
Area = π × Radius² (πr²)
How to Calculate Circle Area
The area of a circle is calculated using its radius (the distance from the center to any point on the edge) and the mathematical constant Pi (π ≈ 3.14159).
Formula: Area = π × Radius² (πr²)
Area = ½ × Base × Height
How to Calculate Triangle Area
The area of a triangle is half of the base multiplied by its perpendicular height. The height is the distance from the base to the opposite highest point.
Formula: Area = ½ × Base (b) × Height (h)
Area = ½ × (a + b) × Height
How to Calculate Trapezoid Area
A trapezoid's area is found by averaging its two parallel bases (a and b) and multiplying that average by the height (h).
Formula: Area = ½ × (a + b) × h
Area = π × a × b
How to Calculate Ellipse Area
An ellipse's area is found by multiplying Pi (π) by its semi-major axis (a, the longest radius) and its semi-minor axis (b, the shortest radius).
Formula: Area = π × a × b
Area = Base × Height
How to Calculate Parallelogram Area
The area of a parallelogram is its base multiplied by its perpendicular height. Be careful not to use the slanted side's length.
Formula: Area = Base (b) × Height (h)
Area = (d1 × d2) / 2
How to Calculate Rhombus Area
The area of a rhombus can be easily found by multiplying the lengths of its two diagonals (d1 and d2) and then dividing the result by 2.
Formula: Area = (d1 × d2) / 2
Area = (θ/360) × πr²
How to Calculate Sector Area
A circular sector is a "slice" of a circle. Its area is a fraction of the full circle's area, determined by the sector's angle (θ) out of 360 degrees.
Formula: Area = (θ/360) × πr²
Frequently Asked Questions
What is area?
Area is the measure of a two-dimensional space taken up by an object. It's usually measured in square units, like square meters (m²) or square feet (ft²).
Why are the diagrams included?
The diagrams provide a visual reference for the required dimensions (like length, width, or radius), making it easier to understand which numbers to enter for an accurate calculation.
Can I calculate the area of other shapes?
This tool supports rectangles, squares, circles, triangles, trapezoids, ellipses, parallelograms, rhombuses, and sectors. We plan to add more shapes in the future based on user feedback!