OneTaskAlgebra and Geometry Calculators
Quadratic Equation, Right Triangle and Pythagoras Theorem Calculators With Exact Forms
Solve a quadratic equation from its coefficients, with the discriminant, the roots in exact and decimal form and the vertex of the parabola. Find the hypotenuse or a missing leg of a right triangle, with its angles, area and perimeter.
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Every Algebra and Geometry tool
Arc Length And Sector Area Calculator
Arc length, sector area, chord and segment from radius and angle.
NewArea Calculator
Area of eleven common 2D shapes, with the working shown.
NewCircle Calculator
Radius, diameter, circumference and area from any one of them.
NewCompleting The Square Calculator
Vertex form, vertex and roots of any quadratic, step by step.
NewDeterminant And Inverse Matrix Calculator
Determinant and inverse of a square matrix, as exact fractions.
NewDistance Formula Calculator
Distance between two points, with the exact root and working.
NewExponential Growth And Decay Calculator
Final amount, doubling time or half-life for steady percentage growth or decay.
NewInequality Calculator
Solve a linear or double inequality, with interval notation and the number line.
NewLaw Of Sines And Cosines Calculator
Missing sides and angles by the law of sines or cosines.
NewLinear Equation Calculator
Solve one-variable linear equations with full working.
NewMatrix Calculator
Matrix multiplication, addition and transpose with working.
NewMidpoint Calculator
Midpoint of a segment, or the missing endpoint from the midpoint.
NewPerimeter Calculator
Perimeter of twelve common 2D shapes, with the working shown.
NewPolynomial Root Calculator
Real and complex roots of any polynomial, with factorisation.
NewProportion Calculator
Find the missing number in a/b = c/d, with the cross multiplication shown.
Pythagorean Theorem Calculator
Find the hypotenuse or a missing side of a right triangle.
Quadratic Equation Calculator
Solve ax² + bx + c = 0, with exact roots and the vertex.
NewRegular Polygon Calculator
Every measurement of a regular polygon from one known value.
NewRight Triangle Calculator
Every side and angle of a right triangle from any two values.
NewSlope Calculator
Slope, y = mx + b, angle and grade from two points.
NewSlope-Intercept Form Calculator
Slope, intercepts and every form of a line from two points.
NewSurface Area Calculator
Total and side surface area of eleven 3D solids.
NewSystem Of Equations Calculator
Solve simultaneous equations with every elimination step.
NewTriangle Calculator
Every side, angle and the area of a triangle from three known parts.
NewVolume Calculator
Volume of eleven common 3D solids, with the working shown.
Exact forms as well as decimals
A decimal answer such as 1.414214 hides the fact that the exact value is √2. The quadratic solver gives roots as fractions, surds or complex numbers where it can, and the Pythagorean calculator shows the squared working, so the result can be copied into written work in the expected form.
Where these come up
Quadratics turn up wherever something rises and falls: the path of a thrown ball, the area of a pen with a fixed length of fence, or the price that maximises profit. Pythagoras covers anything square and diagonal, from a ladder against a wall and the brace across a gate to a TV screen size, and checking that a corner is square with the 3, 4, 5 rule.
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