Free Geometry Solver
with Step-by-Step AI
Area, perimeter, volume, triangle theorems and coordinate geometry — every formula shown, every step explained. No signup.
- Area & perimeter calculations
- Volume & surface area
- Triangle theorems & Pythagorean
- Coordinate geometry
Step 2 — Area: A=½×base×height=½×5×12=30 sq units
Step 3 — Perimeter: 5+12+13=30 units
Final: Right triangle ✓ | Area=30 | Perimeter=30
Ctrl+Enter to solve instantly
Step 2 — Area: A=½×base×height=½×5×12=30 sq units
Step 3 — Perimeter: 5+12+13=30 units
Final: Right triangle ✓ | Area=30 | Perimeter=30
From problem to solution in seconds
Describe your geometry problem
Enter the shape, given measurements, and what to find. Plain language like ‘triangle with sides 5, 12, 13’ works perfectly.
AI applies the correct theorem
Identifies the shape, selects the right formula — Pythagorean, Heron’s, distance formula — and sets up the calculation.
See the formula and every step
Which theorem was used and why is shown at each stage, not just the final number.
What this geometry solver handles
What Is a Free Geometry Solver?
A geometry solver takes a problem involving shapes, measurements, or spatial relationships and returns a step-by-step solution. MathGPT Free handles 2D and 3D shapes: triangles, circles, quadrilaterals, cylinders, cones, spheres — plus coordinate geometry.
Unlike a basic calculator that returns a single number, this tool shows the formula being used, the substitution of your values, and each arithmetic step — which matters when you’re learning geometry theorems.
Geometry Formulas and How the Solver Uses Them
Area and perimeter
Identifies shape type and applies the correct formula: ½bh for triangles, πr² for circles, lw for rectangles. Heron’s formula is used when only three side lengths are given.
Volume and surface area
Applies correct volumetric formulas: (4/3)πr³ for spheres, πr²h for cylinders, (1/3)πr²h for cones. Surface area shows each face separately.
Coordinate geometry
Applies the distance formula √((x₂−x₁)²+(y₂−y₁)²), midpoint formula, and slope. Equations of lines and circles are derived step by step.
Geometry Problems This Solver Handles
- Area and perimeter of triangles, rectangles, parallelograms, trapezoids
- Area and circumference of circles, arc length, sector area
- Pythagorean theorem and applications
- Heron’s formula for triangles with three known sides
- Volume and surface area of cylinders, cones, spheres, prisms
- Distance and midpoint formulas
- Equation of a line and equation of a circle
- Angle theorems: supplementary, complementary, vertical angles
Real results from real students
“I always got confused applying Heron’s formula. This showed me each substitution step clearly.”
“My teacher moves too fast. I use this to re-do class examples at my own pace.”
“Helpful for 3D shapes — surface area steps are broken down better than anything else I’ve tried.”
Common questions
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Triangles, circles, 3D shapes — full solutions, always free.
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