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Geometry
Calculate lengths, angles, areas and volumes of shapes.
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- 30 60 90 triangle calculatorA 30–60–90 triangle has side ratios 1 : √3 : 2.
- 45 45 90 triangle calculatorA 45–45–90 triangle has two equal legs and a hypotenuse equal to either leg × √2.
- Arc length calculatorArc length = radius × central angle in radians. Sector area = radius² × angle in radians ÷ 2.
- Circle calculatorCircle area = πr²; circumference = 2πr; diameter = 2r.
- Cone volume calculatorCone volume = π × radius² × height ÷ 3. Slant height = √(radius² + height²).
- Cylinder volume calculatorCylinder volume = π × radius² × height. Closed surface area includes both circular ends.
- Ellipse calculatorEllipse area = π × first semiaxis × second semiaxis.
- Equilateral triangle calculatorAn equilateral triangle has area √3 × side² ÷ 4 and height √3 × side ÷ 2.
- Great circle distance radius mapMeasure the shortest spherical surface distance between coordinates and draw a radius around the starting point.
- Isosceles triangle calculatorHeight of an isosceles triangle = √(equal side² − (base ÷ 2)²). Area = base × height ÷ 2.
- Parallelogram area calculatorParallelogram area = base × perpendicular height.
- Perimeter calculatorAdd the side lengths of a closed polygon to find its perimeter.
- Polygon calculatorRegular polygon area = n × side² ÷ (4 × tan(π/n)). Perimeter = n × side.
- Rectangle calculatorRectangle area = length × width. Perimeter = 2 × (length + width). Diagonal = √(length² + width²).
- Right triangle calculatorHypotenuse = √(leg one² + leg two²). Area = leg one × leg two ÷ 2.
- Sector area calculatorSector area = π × radius² × angle ÷ 360 when the angle is in degrees.
- Sphere calculatorSphere volume = 4πr³/3. Surface area = 4πr².
- Surface area calculatorFind the complete outside area of a box, sphere, right circular cylinder or cone.
- Trapezoid area calculatorTrapezoid area = (first parallel side + second parallel side) × perpendicular height ÷ 2.
- Triangle area calculatorTriangle area = base × perpendicular height ÷ 2.
- Triangle calculatorHeron’s formula finds area from three sides. With semiperimeter s, area = √(s(s − a)(s − b)(s − c)).
- Triangle height calculatorTriangle height = twice its area divided by its base.
- Unit circle calculatorFind the point (cosθ, sinθ) on the unit circle for an angle in degrees.
