Geometry Solver and Calculator

This geometry solver works out areas, perimeters, missing sides, angles and volumes. Type the problem in words, or add a photo of it — Sumzo names the formula it uses and shows each step.

Tip: use the math keyboard for symbols like √, x² and fractions. You can also attach a photo, screenshot or PDF of the problem (up to 4 files).

What should Sumzo do?
Try an example:
Explanation

How to use the geometry problem solver

  1. Describe the shape and what you know, with units: “a rectangle 7 m by 4 m”, “a triangle with angles 50° and 65°”.
  2. Optionally pick what to find — area, perimeter, a missing side or an angle.
  3. Or add a photo of the question; check the text Sumzo read, including the labels on the diagram.
  4. Press Solve. The answer comes first, then the formula and each step, with units.

Worked examples

Easy: area of a triangle

  1. Use A=12bhA = \frac{1}{2}bh with base b=10b = 10 cm and height h=6h = 6 cm.
  2. A=12×10×6=30A = \frac{1}{2} \times 10 \times 6 = 30.
  3. The area is 30 cm230\text{ cm}^2.

Medium: a missing side with Pythagoras

  1. For legs 6 and 8, the hypotenuse cc satisfies c2=62+82=36+64=100c^2 = 6^2 + 8^2 = 36 + 64 = 100.
  2. c=100=10c = \sqrt{100} = 10.
  3. Check: 62+82=1026^2 + 8^2 = 10^2 ✓.

Hard: from circumference to area

  1. Circumference C=2πr=10πC = 2\pi r = 10\pi, so r=5r = 5 cm.
  2. Area A=πr2=25π≈78.54 cm2A = \pi r^2 = 25\pi \approx 78.54\text{ cm}^2.
  3. Check: 2π(5)=10π2\pi(5) = 10\pi ✓.

Common geometry mistakes

  • Using a slanted side as the height of a triangle: the height is perpendicular to the base.
  • Mixing up radius and diameter: C=2πr=πdC = 2\pi r = \pi d.
  • Forgetting square units for area (cm2\text{cm}^2) and cubic units for volume (cm3\text{cm}^3).
  • Applying Pythagoras to a triangle without a right angle.

Frequently asked questions

Is there a geometry AI that can solve my problem?

Yes — Sumzo AI reads geometry problems typed in words or from a photo and explains the working. Sumzo’s math engine re-checks the result whenever it can, and each answer says whether it was checked.

Which geometry problems can it solve?

Areas and perimeters of 2D shapes, missing sides and angles in triangles, circles, volumes and surface areas of solids, coordinates (distance and midpoint) and similar problems.

Can I upload a picture of a geometry question?

Yes. Add a photo or screenshot; Sumzo reads the question and the labelled measurements. Check the text it read before solving.

Do I need a separate calculator for each shape?

No — this geometry math solver takes any shape in words. For one formula at a time, the area, circle, volume and Pythagorean theorem calculators are quicker.