Shapes and Formulas
Rectangle/Square: length x width. Triangle: base x height / 2. Circle: pi x radius^2. Trapezoid: (base1 + base2) / 2 x height. Ellipse: pi x semi-major x semi-minor. Parallelogram: base x height. Circle Sector: (angle/360) x pi x radius^2.
Frequently Asked Questions
Area of a rectangle = length x width. For a square, length and width are equal, so area = side x side = side squared. This is the most common area calculation for rooms, yards, and building materials.
Area of a triangle = (base x height) / 2. The height must be perpendicular to the base. For a right triangle, the two legs serve as the base and height. For scalene triangles where you know all three sides, use Heron's formula: area = sqrt(s(s-a)(s-b)(s-c)) where s = (a+b+c)/2.
Area of a circle = pi x radius squared (A = pi x r^2). The radius is half the diameter. For example, a circle with a 10-foot diameter has a radius of 5 feet and an area of pi x 25 = approximately 78.54 square feet.
1 square foot = 0.0929 square meters. To convert, multiply square feet by 0.0929. This calculator handles unit conversions automatically when you select the output unit.
A trapezoid is a quadrilateral with exactly one pair of parallel sides (called the bases). Area of a trapezoid = (base1 + base2) / 2 x height. The height is the perpendicular distance between the two parallel sides.
Related Calculators
More tools in the Construction category.