Geometry Calculator

Calculate 2D plane and 3D solid geometry shapes with instant formulas and metric outputs.

Geometry Formulas & How to Calculate

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Circle

$$ A = \pi r^2, \quad C = 2\pi r $$

Square radius and multiply by $\pi$ for area.

Triangle

$$ A = \frac{1}{2} b h, \quad P = a + b + c $$

Multiply base by vertical height and divide by 2.

Rectangle

$$ A = l \times w, \quad d = \sqrt{l^2 + w^2} $$

Diagonal calculated using Pythagorean theorem.

Cylinder

$$ V = \pi r^2 h, \quad A = 2\pi r(r + h) $$

Circular base area $\pi r^2$ multiplied by height $h$.

Sphere

$$ V = \frac{4}{3} \pi r^3, \quad A = 4 \pi r^2 $$

Cube the radius and multiply by $\frac{4}{3}\pi$.

Cone

$$ V = \frac{1}{3} \pi r^2 h, \quad l = \sqrt{r^2 + h^2} $$

One-third cylinder volume; slant height $l = \sqrt{r^2+h^2}$.

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