What geometry problems can I enter?

You can ask about common triangles, circles, polygons, coordinate geometry, perimeter, area, surface area, volume, transformations, and proof-style questions. Include all givens and the exact quantity to find.

Can I upload a geometry diagram?

Yes. Upload a clear, well-cropped image where every label, mark, measurement, and part of the question is visible. You can also describe any detail that may be hard to read.

Does the geometry calculator show steps?

The solver is designed to explain the selected theorem or formula, substitutions, and calculations. Because the response is AI-generated, verify important answers and formal proofs independently.

Can it solve geometry proofs?

It can help organize many proof-style problems when the givens, diagram markings, and statement to prove are complete. Proof conventions vary, so compare the result with your course requirements.

Purpose-built geometry calculator

Geometry Calculator

Solve geometry problems from text or a clear image. Describe the known lengths, angles, coordinates, or shape, then review the theorem, formula, substitutions, and final answer step by step.

Text or image inputFormulas and steps explainedNo sign-up required

Solve a geometry problem now

geometry calculator

diagram → theorem → answer

Triangles and angles

Circles and arcs

Coordinate geometry

geometry calculator

Solve your geometry problem

Enter the complete problem and say what you need to find. Include every measurement, unit, labeled point, angle mark, and condition that appears in the question or diagram.

Text inputImage upload

Drop files to Attach, orbrowse

Example

Geometry examples with complete solutions

Follow the diagram, substitute the given values, and check the answer and units.

Example 1

A right triangle has legs 6 cm and 8 cm. Find the hypotenuse and area.

Use the Pythagorean theorem for the missing side and the triangle area formula for the enclosed region.

c² = a² + b² = 6² + 8² = 36 + 64 = 100
c = √100 = 10 cm
A = ab / 2 = 6 × 8 / 2 = 24 cm²

Answer: c = 10 cm; A = 24 cm²

Check: 6² + 8² = 10²; 24 = (6 × 8)/2

Example 2

A circle has radius 5 m and a 72° central angle. Find the arc length and sector area.

Use the central angle as a fraction of a full turn for both the circumference and circle area.

72° / 360° = 1/5
L = (72° / 360°) × 2πr = (1/5) × 2π × 5 = 2π m
A = (72° / 360°) × πr² = (1/5) × π × 5² = 5π m²

Answer: L = 2π m ≈ 6.28 m; A = 5π m² ≈ 15.71 m²

Check: (2π)/(10π) = (5π)/(25π) = 1/5 = 72°/360°

Example 3

Find the distance, midpoint, and slope between A(-2, 3) and B(4, 7).

A coordinate geometry problem that uses the same pair of points in three related formulas.

Δx = 4 − (−2) = 6; Δy = 7 − 3 = 4
d = √(Δx² + Δy²) = √(36 + 16) = √52 = 2√13
M = ((−2 + 4)/2, (3 + 7)/2) = (1, 5)
m = Δy / Δx = 4/6 = 2/3

Answer: d = 2√13 ≈ 7.21; M = (1, 5); m = 2/3

Check: (1 − (−2), 5 − 3) = (4 − 1, 7 − 5) = (3, 2); (2√13)² = 52

geometry calculator

Geometry problems this calculator can help with

Geometry questions range from quick shape measurements to diagrams, proofs, and multi-step reasoning. Use the same text-and-image workspace for each type.

Triangles and angles

a² + b² = c²

Find missing sides, angles, area, perimeter, similarity, or congruence using the given relationships.

Circles and arcs

A = πr² · C = 2πr

Work with radius, diameter, circumference, area, sectors, arcs, chords, and circle equations.

Coordinate geometry

d = √((x₂-x₁)² + (y₂-y₁)²)

Calculate distance, midpoint, slope, line relationships, and properties of shapes on the coordinate plane.

Area, surface area, and volume

V(prism) = Bh · V(pyramid) = ⅓Bh

Choose the correct formula for 2D figures, 3D solids, and composite shapes, with units kept visible.

Step

How to use the Geometry calculator

Geometry answers depend on the diagram and the stated relationships, so preserve more than just the numbers.

1
State what is given and what to find
given → find
List known lengths, angles, coordinates, parallel lines, right angles, and the requested unknown.
2
Keep the diagram readable
shape + labels
Upload a clear, tightly cropped image where labels, tick marks, angle arcs, and units can be read.
3
Match a theorem or formula
theorem → substitute
Check why the chosen relationship applies before substituting values and simplifying.
4
Verify the result
units + check ✓
Check units, angle sums, reasonable size, diagram constraints, and whether the answer satisfies every given condition.

Tip: if a diagram is not drawn to scale, trust its labels and marked relationships rather than its visual proportions.

Formula guides

Understand the formulas used here

Review the related formulas, when to use them, and how they connect in a worked example.

Circle Formulas

Learn the circle formulas for diameter, circumference, area, arc length, sector area, chord length, and the equation of a circle.

Open formula guide

Common geometry mistakes to watch for

A correct formula can still produce a wrong result when a label, unit, or geometric condition is misread.

Assuming from appearance

Do not treat lines as parallel, perpendicular, equal, or tangent unless the problem states or marks that relationship.

Mixing radius and diameter

Circle formulas usually use the radius; convert the diameter before substituting when needed.

Using the wrong units

Lengths use linear units, areas use square units, and volumes use cubic units. Convert measurements before calculating.