Geometry cheat sheet !

Geometry

Area & Perimeter

Square: Area: \(length^2\) || Perimeter: 4*length

Rectangle: Area: length * breadth || Perimeter: 2*(length + breadth)

Parallelogram: Area: base * height || Perimeter: 2*(base + height)

Circle: Area: \(\pi\)\(r^2\) | Circumference of a circle: 2\(\pi\)r [where Pi (\(\pi\)) = \(\frac{22}{7}\)]

Triangle: Area: \(\frac{length}{2*breadth}\)

Pythagoras Theorem (for right-angled triangles): \(base^2\)+ \(height^2\) =\(hypotenuse^2\)

Volume formulas

Cube: \((length)^3\)

Rectangular prism: length * breadth * height

Cylinder: 2*\(\pi\)*r*h

Cone: \(\frac{A}{3}\) Where A = \(\pi\)* \(r^2\) * h

Pyramid:\(\frac{base length X base width X height}{3}\)

Sphere: \(\frac{4}{3}\)* \(\pi\)* \(r^3\)

ADITIONAL IMPORTANT FORMULAS

* Line passing through the center of the circle is DIAMETER

* If a triangle is inscribed in a circle such that one side of that triangle is a diameter of the circle, then the angle of the triangle that is opposite the diameter is a Right angle