SolverCalc · Geometry & Trigonometry

Geometry & Trigonometry Calculators

Choose a geometry or trigonometry calculator by the shape in the problem and the measurements you already know: sides, angles, radius, height, surface area or volume.

This SolverCalc hub separates right-triangle work, general triangle solving, circles, arcs and three-dimensional solids. Pick the shape first, then check whether your known values match the tool's supported inputs.

Triangles, Sides & Angles

Start here when the problem is about a triangle. A right triangle has one 90-degree angle; non-right triangles usually need law of sines, law of cosines, or an area formula.

Pythagorean Theorem Calculator

Find the missing side of a right triangle when two side lengths are known.

Example inputa = 3, b = 4c = 5

Use only for right triangles. The longest side is the hypotenuse and sits opposite the 90-degree angle.

Right Triangle Calculator

Solve a right triangle's sides, acute angles and area from supported measurements.

Example inputleg a = 6, angle A = 30 degreesremaining sides and angles

Check that one angle is exactly 90 degrees before choosing this tool. For an oblique triangle, use law of sines or law of cosines.

Triangle Area Calculator

Find triangle area from base and height, three sides, or two sides and their included angle.

Example inputbase = 10, height = 7area = 35

Base and height must be perpendicular. If all three sides are known, use the supported three-side area mode.

Law of Sines Calculator

Solve AAS, ASA or SSA triangle cases when a known side is paired with its opposite angle.

Example inputA = 40 degrees, a = 12, B = 65 degreesremaining triangle values

SSA can have two possible triangles, one triangle or no triangle. Review the ambiguous case before trusting a single result.

Law of Cosines Calculator

Find a side from SAS measurements or an angle when all three sides are known.

Example inputa = 7, b = 9, included angle C = 60 degreesmissing side c

This is the safer choice when the known angle is between two known sides, or when three side lengths are supplied.

Angle Converter

Convert angle measures between degrees and radians before using a trigonometry formula.

Example input45 degreesπ/4 radians

Check whether a formula or calculator expects degrees or radians; the numeric inputs are not interchangeable.

Circles, Arcs & Sectors

Use these when the shape is circular. Decide whether the question asks about the whole circle or only a piece of its circumference or area.

Circle Calculator

Find radius, diameter, circumference and area from one known circle measurement.

Example inputradius = 5diameter = 10, circumference = 10π, area = 25π

The radius is half the diameter. Keep π exact when a class problem asks for exact form.

Arc Length Calculator

Calculate a circular arc or sector from radius and central angle.

Example inputradius = 6, angle = 60 degreesarc length = 2π

Use the central angle, not an angle drawn somewhere else on the diagram. Degree and radian mode must match the input.

Volume & Surface Area of Solids

Solid-geometry tools use three-dimensional measurements. Use a converter only after you have calculated the volume or surface area in the correct squared or cubed unit.

Rectangular Prism Calculator

Use a box's length, width and height to find volume and surface area.

Example inputlength = 8, width = 4, height = 3volume = 96

All three dimensions must use the same length unit before calculating.

Cylinder Calculator

Calculate a right circular cylinder's volume and surface area from radius and height.

Example inputradius = 3, height = 10volume = 90π

A diameter must be divided by 2 before using it as radius.

Cone Calculator

Work with a right circular cone using radius, height or slant height.

Example inputradius = 4, height = 9volume = 48π

Height is vertical; slant height runs along the side surface. They are not interchangeable.

Pyramid Calculator

Find pyramid volume from base area and perpendicular height, with supported base-shape options.

Example inputbase area = 30, height = 12volume = 120

The height must be perpendicular to the base, not the length of a slanted edge.

Frustum Calculator

Calculate a truncated cone or square frustum using the selected shape's dimensions.

Example inputR = 5, r = 2, height = 9frustum volume

Use frustum tools when the top of a cone or pyramid is cut off parallel to the base.

Sphere Calculator

Find a sphere's volume and surface area from radius or diameter.

Example inputradius = 6volume = 288π, surface area = 144π

Sphere formulas use radius. If the problem gives diameter, halve it first.

Hemisphere Calculator

Calculate volume, curved surface and total surface for half of a sphere.

Example inputradius = 6volume = 144π

Total surface area includes the flat circular base; curved surface area does not.

Spherical Cap Calculator

Work out the volume and surface of a cap cut from a sphere.

Example inputsphere radius = 10, cap height = 3cap volume and curved area

The cap height is measured from the cutting plane to the top of the sphere.

Spherical Zone Calculator

Calculate the band of a sphere between two parallel cutting planes.

Example inputradius = 10, zone height = 4zone surface area

A zone is a band, not a cap. Use the cap tool when there is one cutting plane and one pole.

Match the tool to the known measurements

Most wrong geometry answers start before calculation: the selected formula does not match the diagram. Use the shape and the given measurements as the decision path.

  • Right triangleone 90-degree anglePythagorean or Right Triangle
  • Oblique triangleno right angle shownLaw of Sines, Law of Cosines or Triangle Area
  • Circle or sectorradius, diameter or central angleCircle or Arc Length
  • Solidheight, radius, length, width or 3D surfacePrism, cylinder, cone, pyramid or sphere tools

Geometry checks before calculating

  • Use the same unit family

    Do not mix centimeters, meters, inches or feet inside one formula. Convert lengths first, then calculate area or volume.

  • Identify radius vs diameter

    Circle, cylinder, cone and sphere formulas usually use radius. If a problem gives diameter, divide by 2 before using the formula.

  • Watch squared and cubed units

    Area uses square units and volume uses cubic units. A unit converter is not the same as an area or volume formula.

How this connects to other SolverCalc hubs

Geometry often needs algebra, measurement and rounding. Use the geometry tool for the formula result, then move to a related hub only when the next step is a different kind of task.