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Geometry Formulas

Area, volume, and perimeter formulas for 2D and 3D shapes.

Pythagorean Theorem

a2+b2=c2a^2 + b^2 = c^2a2+b2=c2

In a right triangle, the square of the hypotenuse equals the sum of squares of the other two sides.

Circle Area

A=πr2A = \pi r^2A=πr2

Calculates the area of a circle given its radius.

Circle Circumference

C=2πrC = 2\pi rC=2πr

Calculates the circumference of a circle.

Triangle Area

A=12bhA = \frac{1}{2}bhA=21​bh

Calculates the area of a triangle given base and height.

Sphere Volume

V=43πr3V = \frac{4}{3}\pi r^3V=34​πr3

Calculates the volume of a sphere.

Heron's Formula

A=s(s−a)(s−b)(s−c)A = \sqrt{s(s-a)(s-b)(s-c)}A=s(s−a)(s−b)(s−c)​

Calculates triangle area using only side lengths.

Trapezoid Area

A=12(b1+b2)hA = \frac{1}{2}(b_1 + b_2)hA=21​(b1​+b2​)h

Calculates the area of a trapezoid.

Cone Volume

V=13πr2hV = \frac{1}{3}\pi r^2 hV=31​πr2h

Calculates the volume of a cone.

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