Geometry

Choose a tool. The method, example and assumptions are included.

Geometry

Circle area and circumference: A = πr²; circumference = 2πr

Geometry

Cone volume: V = πr²h ÷ 3 (m³)

Geometry

Coordinate distance: Euclidean distance = √((x₂−x₁)² + (y₂−y₁)²)

Geometry

Cuboid volume: V = length × width × height (m³)

Geometry

Cylinder volume: V = πr²h (m³)

Geometry

Irregular polygon area and perimeter: Apply the shoelace formula to ordered vertices and sum edge lengths, including the closing edge.

Geometry

Pythagorean theorem: Hypotenuse = √(a² + b²); right triangles only

Geometry

Rectangle area: A = length × width (m²)

Geometry

Regular polygon dimensions: For a regular n-sided polygon, apothem = side / (2 tan(π/n)), perimeter = n × side, and area = perimeter × apothem / 2.

Geometry

Slope: Slope = (y₂−y₁) ÷ (x₂−x₁); vertical slope is undefined

Geometry

Sphere volume: V = 4πr³ ÷ 3 (m³)

Geometry

Trapezoid area: A = (a + b) × height ÷ 2 (m²)

Geometry

Triangle area: A = base × perpendicular height ÷ 2 (m²)

Geometry

Calculate a triangle’s area, perimeter and three angles from three positive side lengths.