Geometry
Area, perimeter, and volume formulas for common shapes.
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Area
Area
A = πr²
Area of a Circle
Calculate the area enclosed by a circle from its radius.
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A = ½ × b × h
Area of a Triangle
Half the base times the perpendicular height — works for any triangle.
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A = l × w
Area of a Rectangle
The total space enclosed within a rectangle's four sides — length times width.
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A = s²
Area of a Square
A square's area is its side length squared, since all four sides are equal.
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Volume
Volume
V = (4/3)πr³
Volume of a Sphere
The three-dimensional space enclosed by a sphere.
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V = πr²h
Volume of a Cylinder
The area of a cylinder's circular base multiplied by its height.
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V = (1/3)πr²h
Volume of a Cone
Exactly one-third the volume of a cylinder with the same base and height.
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