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Math Solver Calculator

Geometry, in words

Geometry math solver for shapes, angles and solids

Describe the figure and what you need to find. The solver names each theorem or formula, keeps the units, and gives the exact value and then the decimal.

Solve a geometry problemWord problems
  • Formula named for each step
  • Units kept
  • Exact and decimal
Topic
Explanation
0 / 300 words

Solution

Type a problem and press Solve. The steps and the answer appear here.

At a glance

This geometry math solver answers typed geometry problems: area, perimeter, volume, angles, triangles, circles and short proofs. Describe the figure in words, since the solver cannot see diagrams, and get the given facts, the formula or theorem for each step, a check and the answer with units. Each problem uses 1 credit ($0.08 to $0.10); the account is free and solving uses purchased credits.

Covers
Area, perimeter, volume, angles, triangles, circles, proofs
Diagrams
Describe the figure in words; no image upload
Answers
Exact value, then the decimal, with units
Price
1 credit per problem ($0.08 to $0.10); packs from $4.99
Account
Free to sign up; solving uses purchased credits

How the geometry solver works through a problem

  • 01

    Givens first

    It lists what the problem gives you, the lengths, angles and relationships, before it chooses a method.

  • 02

    Named formulas and theorems

    Pythagorean theorem, angle sums, similar triangles, area and volume formulas: each one is named before it is used.

  • 03

    Units all the way

    Lengths in cm, areas in cm^2 and volumes in cm^3, carried through every line and into the final answer.

  • 04

    Proofs as numbered statements

    For a short proof you get each statement with its reason, the way a two-column proof is written in class.

How to describe a geometry problem

  1. 01

    Name the shape and points

    For example: triangle ABC with a right angle at C, or a circle with center O.

  2. 02

    Give every measurement

    Lengths, angles and any parallel or equal sides, with their units.

  3. 03

    Say what to find

    An area, a missing side, an angle or a statement to prove; then choose Geometry and solve.

Geometry formulas, free to use

The formulas the solver uses most often, written out so you can follow and check its steps (π ≈ 3.14159):

  • Rectangle: area = l × w, perimeter = 2(l + w)
  • Triangle: area = (1/2) × b × h; the angles add up to 180°
  • Right triangle: a^2 + b^2 = c^2, where c is the hypotenuse
  • Circle: area = πr^2, circumference = 2πr
  • Trapezoid: area = (1/2)(a + b) × h
  • Rectangular box: volume = l × w × h; cylinder: volume = πr^2 × h
  • Sphere: volume = (4/3)πr^3, surface area = 4πr^2; cone: volume = (1/3)πr^2 × h
  • Polygon with n sides: the interior angles add up to (n - 2) × 180°

A worked example

Worked by hand for this page, in the layout the solver uses for Answer + steps:

  • Problem: A right triangle has legs of 9 cm and 12 cm. Find the hypotenuse, the area and the perimeter.
  • 1. Pythagorean theorem: c^2 = 9^2 + 12^2 = 81 + 144 = 225, so c = sqrt(225) = 15 cm
  • 2. Area of a triangle: (1/2) × 9 × 12 = 54 cm^2
  • 3. Perimeter: 9 + 12 + 15 = 36 cm
  • Check: 15 is longer than both legs, and 9 : 12 : 15 is the 3 : 4 : 5 triangle scaled by 3
  • Answer: the hypotenuse is 15 cm, the area 54 cm^2 and the perimeter 36 cm

When the problem has a diagram

The solver reads text only. Describe a diagram the way you would over the phone: the shape, the labels of the points, which sides are equal or parallel, which angles are marked, and every number on it. If something is not stated, the solver says what it assumes in a Note line, so a wrong reading is quick to spot.

Geometry solver FAQ

Can the geometry solver read a diagram or a photo?

No. It works from text only, and there is no image upload on this site yet. Describe the figure in words: the shape, the labeled points, the given lengths and angles, and which sides are parallel or equal.

Will I get the exact answer or a decimal?

Both where they differ: the exact value, such as 25π cm^2 or 6sqrt(2) cm, and then a rounded decimal, with the number of decimal places stated.

Can it write geometry proofs?

It can write short proofs as numbered statements with reasons, such as congruent triangles or angle relationships. Check that each reason is one your class accepts; teachers differ on which theorems may be cited.

Is the geometry math solver free?

The account and the formula list on this page are free. Each solved problem uses 1 purchased credit, $0.08 to $0.10 depending on your pack or plan; there are no free signup credits.

Solve a geometry problem in words

Describe the figure, choose Geometry and get the steps, the units and a checked answer.

Solve geometry

Last updated October 29, 2026

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