Perimeter formula

Square

4 × side

Rectangle

2 × (length + width)

Parallelogram

2 × (side1 + side2)

Triangle

side1 + side2 + side3

Regular n-polygon

n × side

Trapezoid

height × (base1 + base2) / 2

Trapezoid

base1 + base2 + height × [csc(theta1) + csc(theta2)]

Circle

2 × pi × radius

Ellipse

4 × radius1 × E(k,pi/2)
E(k,pi/2) is the Complete Elliptic Integral of the Second Kind
k = (1/radius1) × sqrt(radius1² - radius2 ²)

Area formula

Square

side²

Rectangle

length × width

Parallelogram

base × height

Triangle

base × height / 2

Regular n-polygon

(1/4) × n × side² × cot(pi/n)

Trapezoid

height × (base1 + base2) / 2

Circle

pi × radius²

Ellipse

pi × radius1 × radius2

Cube (surface)

6 × side²

Sphere (surface)

4 × pi × radius²

Cylinder (surface of side)

perimeter of circle × height

2 × pi × radius × height

Cylinder (whole surface)

Areas of top and bottom circles + Area of the side

2(pi × radius²) + 2 × pi × radius × height

Cone (surface)

pi × radius × side

Torus (surface)

pi² × (radius2² - radius1² )

Volume formula

Cube

side³

Rectangular Prism

side1 × side2 × side3

Sphere

(4/3) × pi × radius³

Ellipsoid

(4/3) × pi × radius1 × radius2 × radius3

Cylinder

pi × radius² × height

Cone

(1/3) × pi × radius² × height

Pyramid

(1/3) × (base area) × height

Torus

(1/4) × pi² × (r1 + r2) × (r1 - r2)²