1. The perimeter of a polygon (or any other close up door curve, such as a circle) is the distance about the outside.

2. The area that a simple, closed, planar curve is the lot of room inside.

3. The volume the a heavy 3 D shape is the lot of room displaced by it.

some formulas for usual 2 -dimensional airplane figures and also 3 -dimensional solids are given below. The answers have actually one, two, or 3 dimensions; perimeter is measured in linear units , area is measured in square devices , and volume is measure in cubic units .

Table 1 . Perimeter formulas

form
Formula
Variables
Square
p = 4 s
s is the length of the next of the square.

Rectangle
ns = 2 l + 2 W
l and W room the lengths of the rectangle"s sides (length and also width).

Triangle
a + b + c
a , b , and c room the side lengths.

appropriate Triangle, through legs a and also b (see Pythagorean theorem )
ns = a + b + a 2 + b 2
a and b are the lengths of the two legs of the triangle

one
p = C = 2 π r = π d
r is the radius and d is the diameter.

Table 2. Area recipe

shape
Formula
Variables
Square
A = s 2
s is the size of the side of the square.

Rectangle
A = together W
together and also W room the lengths of the rectangle"s sides (length and also width).

Triangle
A = 1 2 b h
b and h space the base and also height

Triangle
A = s ( s − a ) ( s − b ) ( s − c ) where     s = a   +   b   +   c 2
a , b , and c space the next lengths and s is the semiperimeter

parallel
A = b h
b is the length of the base and also h is the height.

Trapezoid
A = b 1   +   b 2 2 h
b 1 and b 2 are the lengths that the parallel sides and h the street (height) between the parallels.

one
A = π r 2
r is the radius.

Table 3. Volume recipe

form
Formula
Variables
Cube
V = s 3
s is the size of the side.

Right rectangular Prism
V = l W H
together is the length, W is the width and also H is the height.

Prism or Cylinder

V = A h


A is the area the the base, h is the height.

Pyramid or Cone

V = 1 3 A h


A is the area the the base, h is the height.

round
V = 4 3 π r 3
r is the radius.


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