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Mathematical relations and geometry calculators
Explore 20 free mathematical relations and geometry calculators. Calculate in your browser with clear inputs, worked examples, and transparent methods.
20 calculators available
- Circle Chord, Sagitta and Minor Segment
Relate a circle’s minor chord, central angle, center distance and sagitta, including arc and segment measures.
- Circle Equation from Diameter Endpoints
Find a circle center, radius and equation coefficients from the two ends of its diameter.
- Circle Standard, General and Parametric Equations
Convert a circle center and squared radius between standard, general and parametric coefficient forms.
- Coordinate Gradient, Rise, Run and Distance
Calculate a line’s signed rise, run, slope, principal inclination and point-to-point distance.
- Dry-Matter Conservation Through Water Loss
Calculate total mass after water content changes while conserving the dry matter in a mass-balance puzzle.
- Ellipse Center, Vertices, Foci and Measures
Calculate axis-aligned ellipse vertices and foci from positive horizontal and vertical semiaxes and a center.
- Ellipse Semiaxes, Area and Approximate Perimeter
Estimate ellipse perimeter from two semiaxes and calculate its exact area and eccentricity.
- Four-Side Perimeter and Missing Side
Add four side lengths for perimeter or recover a positive missing side from the other three and perimeter.
- Inscribed and Equal-Area Circle–Square Measures
Compare the largest inscribed square or circle and separate shapes having equal area.
- Inverse Tangent and Principal Degree Angle
Find the unique inverse-tangent angle between −90 and 90 degrees or recover the corresponding ratio.
- Kite Area and Paired-Side Perimeter
Calculate a kite’s area from perpendicular diagonals or adjacent unequal sides and their included angle.
- Parallelogram Perimeter from Three Data Sets
Find a parallelogram’s perimeter from adjacent sides, a side with diagonals, or base, height and angle.
- Principal Arctangent with Angle Units
Convert a tangent ratio to its principal arctangent angle, with degrees, radians and other angle units.
- Principal Tangent Angle and Ratio
Convert a principal angle between −90 and 90 degrees to its tangent, or recover its principal angle from the tangent.
- Right-Angle Slant and Hypotenuse Measures
Find a cone generator, right-triangle hypotenuse or right-angle cross-section diagonal from perpendicular lengths.
- Scalene Triangle Area from Measurements
Use a perpendicular height, three sides or selected angles to calculate a nondegenerate triangle area.
- Solid and Hollow Cylinder Volume
Calculate solid or hollow cylinder volume, with radius, diameter, height and independent unit controls.
- Trapezoid Height from Leg–Angle or Area
Calculate perpendicular trapezoid height from a sloping leg and its angle, or from area and the parallel bases.
- Triangle Area by Height, Sides or Angles
Calculate triangle area using perpendicular height, three sides, an included angle or two angles around a known side.
- Triangle Side and Angles by the Cosine Law
Find a triangle’s third side from two sides and their included angle, or determine all angles from three sides.