Perimeter

Perimeter is the distance around a two-dimensional shape.

Example: the perimeter of this rectangle is 7+3+7+3 20

perimeter of rectangle

Example: the perimeter of this regular pentagon is:

3+3+3+3+3 5×3 = 15
perimeter of pentagon

The perimeter of a circle is called the circumference:
Circumference = 2π × radius
 circle

Perimeter Formulas

Triangle Triangle
Perimeter = a + b + c
Square Square
Perimeter = 4 × a
a = length of side
Rectangle Rectangle
Perimeter = 2 × (w + h)
w = width
h = height
Parallelogram Quadrilateral
Perimeter = a + b + c + d
circle Circle
Circumference = 2πr
r = radius
Sector Sector
Perimeter = r(θ+2)
r = radius
θ = angle in radians
ellipse Ellipse
Perimeter = very hard!
An ellipse usually looks like a squashed circle:
"F" is a focus, "G" is a focus,
and together they are called foci.
(pronounced "fo-sigh")
ellipse

The total distance from F to P to G stays the same
In other words, we always travel the same distance when going from:
  • point "F" to
  • to any point on the ellipse
  • and then on to point "G"

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