Direct answer

What does the geometry solver do?

The geometry solver finds common unknown measurements from known values for circles, triangles, rectangles, cylinders, cones, and spheres. It can solve forward calculations and reverse calculations, such as radius from area, height from volume, or radius from sphere volume, with formulas and steps. Use it when you know the shape but need help choosing the rearranged formula.

Calculator

Geometry Solver Lite

Select a shape and target, then enter any known measurements. The solver uses deterministic formulas, not AI guesses.

Supported reverse calculations

What this solver can solve backwards

Shape	Reverse formula	Task
Circle	$r = A / π$	Find radius from area
Circle	$r = C /2 π$	Find radius from circumference
Triangle	$h = 2 A / b$	Find height from area and base
Cylinder	$h = V / (π r^{2})$	Find height from volume and radius
Cone	$h = 3 V / (π r^{2})$	Find height from volume and radius
Sphere	$r = 3 3 V /4 π$	Find radius from volume

Formula cards

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Formula card

Circle Formulas

Area $A = π r^{2}$

Circumference $C = 2 π r = π d$

Diameter $d = 2 r$

Radius $r = \frac{d}{2}$

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Formula card

Triangle Formulas

Area $A = \frac{1}{2} bh$

Perimeter $P = a + b + c$

Right triangle $a^{2} + b^{2} = c^{2}$

Heron's formula $A = s (s - a) (s - b) (s - c)$

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Cylinder Formulas

Volume $V = π r^{2} h$

Lateral surface area $L S A = 2 π r h$

Total surface area $T S A = 2 π r (r + h)$

Base area $B = π r^{2}$

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Formula card

Cone Formulas

Volume $V = \frac{1}{3} π r^{2} h$

Lateral surface area $L S A = π r l$

Total surface area $T S A = π r (r + l)$

Slant height $l = r^{2} + h^{2}$

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Sphere Formulas

Volume $V = \frac{4}{3} π r^{3}$

Surface area $S A = 4 π r^{2}$

Diameter $d = 2 r$

Radius $r = \frac{d}{2}$

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FAQ

Geometry Solver FAQ

What can the geometry solver calculate?

It can solve common circle, triangle, rectangle, cylinder, cone, and sphere measurements from known values.

Does the solver show steps?

Yes. Results include formulas, substituted values, and calculation steps.

Can it solve backwards?

Yes. It can find values such as radius from area, height from cylinder volume, and radius from sphere volume.