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◈ Geometry ◈

Formulas & Theorems

r O

Circle

A circle is the set of all points equidistant from a center point. One of the most fundamental shapes in geometry.

S = πr² C = 2πr
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h a b c

Triangle

A three-sided polygon, the simplest closed shape. Triangles are the building blocks of all polygons.

S = ½ · a · h P = a + b + c
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d a a

Square

A regular quadrilateral with four equal sides and four right angles. Perfect symmetry in its simplest form.

S = a² P = 4a
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a b d

Rectangle

A quadrilateral with four right angles. Opposite sides are equal and parallel.

S = a · b P = 2(a + b)
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r a

Hexagon

A six-sided polygon. Regular hexagon appears naturally in honeycombs and snowflakes.

S = (3√3/2) · a² P = 6a
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h a b

Parallelogram

A quadrilateral with two pairs of parallel sides. Opposite sides and angles are equal.

S = a · h P = 2(a + b)
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a a

Cube

A three-dimensional solid with six equal square faces. The simplest regular polyhedron.

V = a³ A = 6a²
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r

Sphere

A perfectly round three-dimensional object. Every point on its surface is equidistant from the center.

V = ⁴⁄₃πr³ A = 4πr²
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