# Perimeter, perimeter formulas

A **perimeter** of a figure is the sum of the lengths of all sides.

The standard notation for **perimeter in math** is P

#### Perimeter of a triangle

P = a + b + c

#### Perimeter of a square

Squares have four equal sides.

Let the length of side be a.

**The perimeter of а square** is P = a + a + a + a or:

#### Perimeter of a rectangle

Let the length and width of a rectangle be a and b.

The sum of the lengths of the sides is P = a + b + a + b or:

#### Perimeter of a parallelogram

Since the opposite sides of a palallelogram are equal in length its perimeter is P = a + b + a + b
or:

*As we see the perimeter of the parallelogram is equal the perimeter of the rectangle.*

#### Perimeter of a rhombus

#### Perimeter of an isosceles trapezoid

Let a and b be the lengths of the parallel sides. Since it is isosceles the other two sides are equal in length and let c be their length.

#### Perimeter of an equilateral triangle

As we know equilateral triangles have 3 equal sides. So if the length of a side is a then the perimeter formula is P = a + a + a

#### Circumference of a circle

$C = d \cdot \pi = 2 \cdot r \cdot \pi$

$\pi = 3.14$

r is radius.

d is diameter.

#### Regular polygon

$P = 2nb\sin\frac{\pi}{n}$

n is the number of edges(vertices).

$\pi = 3.14159265359$