Area Calculator
Calculate the area of any shape instantly
Formula: side²
Result
Shape
square
Calculation
5² = 25.0000
Area
25.0000
unit²
Quick Summary
Area of square
25.0000
unit²
Dimensions
Formula Used
5² = 25.0000
Frequently Asked Questions
What is area and how is it measured?
Area is the measure of space inside a 2D shape. It is measured in square units (e.g., square meters, square feet, square inches). The specific formula for calculating area depends on the shape.
How do I calculate the area of a square?
A square has all sides equal. To calculate the area, multiply one side by itself: Area = side². For example, a square with a side of 5 units has an area of 25 square units.
What is the difference between a rectangle and a parallelogram?
A rectangle has four right angles (90°), while a parallelogram has opposite sides parallel but angles are not necessarily 90°. Both use the formula: Area = base × height, but for a rectangle, height is the same as the width.
How is the area of a triangle calculated?
The area of a triangle is half the product of its base and height: Area = (base × height) / 2. The height must be perpendicular to the base. This formula works for all triangles, including scalene, isosceles, and equilateral triangles.
What is a trapezoid and how do I find its area?
A trapezoid is a quadrilateral with at least one pair of parallel sides. Its area is calculated using: Area = ((base1 + base2) / 2) × height, where base1 and base2 are the lengths of the parallel sides and height is the perpendicular distance between them.
How is the area of a circle calculated?
The area of a circle is calculated using the formula: Area = π × r², where r is the radius (distance from center to edge). Pi (π) is approximately 3.14159. For example, a circle with radius 5 has an area of about 78.54 square units.
What is an ellipse and how is its area different from a circle?
An ellipse is an oval shape with two radii: the semi-major axis (a) and semi-minor axis (b). Its area is: Area = π × a × b. When both radii are equal (a = b), an ellipse becomes a circle. An ellipse is more elongated than a circle.
Can I use this calculator for different units?
Yes! This calculator works with any unit of measurement (meters, feet, inches, centimeters, etc.). The result will be in square units of whatever unit you input. For example, if you enter measurements in feet, the area will be in square feet.
Pro Tips
- • Always ensure measurements are in the same unit before calculating. Converting units after calculation is easier than mixing units during input.
- • For triangles, the height must be perpendicular to the base. A slanted side is not the same as the height.
- • Remember that a circle has infinite sides, so its area formula uses π (pi), which is approximately 3.14159.
- • For irregular shapes, try breaking them down into simpler shapes (rectangles, triangles), calculate each area, then add them together.
- • Double-check your inputs for typos. A small error in measurement can significantly affect the calculated area.
- • The area of a shape is always positive. If you get a negative result, check that all your dimensions are positive numbers.
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