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Algebra and geometric relations calculators
Explore 20 free algebra and geometric relations calculators. Calculate in your browser with clear inputs, worked examples, and transparent methods.
20 calculators available
- Angle Ratios and Right Triangle Relations
Explore six trigonometric ratios alongside editable right-triangle measurements.
- Binomial Products by Four Terms
Expand linear or positive-integer-power binomials and inspect the four products.
- Centered Rectangular Pyramid Measures
Relate the height, volume, face slants and surface areas of a right rectangular pyramid.
- Centroidal Second Moments of Plane Sections
Find area second moments about horizontal and vertical centroidal axes for six planar sections.
- Circle Angles, Chords, Secants and Tangents
Apply six circle relations, including central angles and a tangent through a coordinate point.
- Cone Frustum Volume and Surface Measures
Relate two circular radii, perpendicular height, slant and surface areas of a conical frustum.
- Diagonal Sum of a Square Matrix
Find the trace of a two, three or four row square matrix.
- Exponential Evaluation and Point Fitting
Evaluate a shifted exponential or fit a basic exponential to one or two observations.
- Logarithm Products, Quotients and Powers
Calculate logarithmic terms and their expansion for a positive real base.
- One Cycloid Arch Measures
Calculate the dimensions, arc length and area of one complete cycloid arch.
- Pyramid Volume from a Triangular Base
Compute volume from perpendicular pyramid height and several descriptions of its triangular base.
- Recover Triangle Vertices from Three Midpoints
Find the original triangle vertices from all three side midpoints.
- Regular Pyramid Slopes and Edge Angles
Relate regular polygon base side, centered perpendicular height, edge length and face slopes.
- Right Triangle by Trigonometric Data
Relate right-triangle sides, angles and area through three input modes.
- Right Triangle with Named Sides
Solve the sides and acute angles of a right triangle from sides, an angle or area.
- Triangle Angles and Side Classification
Calculate interior angles and identify right, acute or obtuse and equal-side categories.
- Triangle Angles from Side or Angle Data
Use SSS, included-angle SAS or two known angles to find triangle interior angles.
- Triangle Midpoints and Oriented Area
Find a parallel midsegment or vertex midpoints in a coordinate triangle.
- Triangle Perimeter from Vertex Coordinates
Measure the three Euclidean sides and their sum from planar coordinates.
- Trigonometric Ratios and Three Triangle Modes
Calculate angle ratios and right-triangle sides in side, angle and area modes.