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Algebra and geometric models calculators
Explore 20 free algebra and geometric models calculators. Calculate in your browser with clear inputs, worked examples, and transparent methods.
20 calculators available
- Area of Solid and Built-Up Cross-Sections
Calculate ten common cross-section areas by combining rectangles, circular regions or triangular dimensions.
- Binomial Squares and Both Real Roots
Expand sum or difference squares and inspect both solutions of a squared linear expression.
- Check Whether Three Sides Form a Triangle
Classify positive side lengths using all three strict triangle inequalities.
- Decimal Amount Rounded to Two Places
Round a decimal amount to a displayed cent, retaining the original numerical value internally.
- Equal-Weight and Sample-Weighted Percentages
Average two through ten percentages equally or weight them by their underlying sample sizes.
- Hyperbolic Tangent and Its Six-Function Family
Calculate hyperbolic functions and principal inverse values at a nonzero real argument.
- Isosceles Trapezoid Area, Diagonal and Perimeter
Calculate measures of a trapezoid with equal legs from its parallel bases and perpendicular height.
- Isosceles Triangle Sides, Altitudes and Angles
Relate equal legs, base, apex angle, height, area and perimeter of an isosceles triangle.
- Recognize Signed Perfect-Square Quadratics
Check a quadratic discriminant and obtain coefficient magnitudes for a signed square representation.
- Right Trapezoid Area and Sloping Side
Solve a trapezoid with one perpendicular leg and one inclined leg.
- Sides and Angles of Similar Triangles
Solve two similar triangles from SSS or included-angle SAS data and one corresponding second-triangle side.
- Signed Percentage Change and Reverse Values
Measure change relative to the absolute starting value and solve supported reverse-value branches.
- Six Circular Functions from an Angle
Explore angle ratios, reciprocal functions and special-angle radical forms.
- Special-Angle Ratios and Numerical Values
Calculate six trigonometric ratios with exact special-angle expressions and undefined-pole notes.
- Trapezoid Area and Boundary Length
Find trapezoid area, perimeter and leg-height angle relations.
- Trapezoid Area and Inclined Legs
Relate trapezoid bases, perpendicular height, side lengths and supplementary interior angles.
- Trapezoid Bases, Offsets, Angles and Measures
Relate bases, height, side offsets, legs, perimeter and area of a trapezoid.
- Trapezoid Perimeter with Missing-Leg Alternatives
Calculate perimeter and recover a missing trapezoid leg from bases, the other leg and a base angle.
- Triangular Prism Volume and Surface Measures
Calculate prism volume and surface area from six descriptions of its triangular cross-section.
- Weighted Vector Sums and Differences
Add or subtract two vectors in Cartesian 2D or 3D coordinates, with optional scalar multiples and 2D polar input.