Perimeter
for square:
P = 4s
where s is the length of 1 side
for rectangle:
P = 2L + 2W
where L is the length
W is the width
for triangle:
P = a + b + c
where a,b, and c are the length of the 3 sides
IN GENERAL, the perimeter is just the sum of all the sides of the polygon
Circumference: (equivalent perimeter in circle)
C = 2πr
or
C = πd
where r is the radius of the circle
d is the diameter of the circle
Area:
for square:
A = s²
where s is the length of 1 side
for rectangle:
A = LW
where L is the length
W is the width
for triangle:
A = 1/2bh
where b is the length of the base
h is the altitude/height perpendicular to the horizontal
for circle:
A = πr²
or
A = πd²/4
where r is the radius of the circle
d is the diameter of the circle
for a regular polygon:
A = n x 1/2 ah
where n is the number of sides
a is the length of 1 side
h is the perpendicular length from its center to the side
Surface Area
for sphere:
A = 4πr²
where r is the length of the radius
for cube:
A(lateral) = 4s²
A(total) = 6s²
where s is the length of 1 side
for cylinder:
A(lateral) = 2πrh or πdh
A(total) = 2πrh + 2πr²
where r is the radius
d is the diameter
h is the height or altitude
Volume
for cube:
V = s³
where s is the length of 1 side
for rectangular prism:
V = LWh
where L is the length
W is the width
h is the depth/altitude/height
for sphere:
V = 4/3πr³
where r is the radius
for cylinder:
V = πr²h
where r is the radius
h is the altitude/height
for cone:
V = 1/3πr²h
where r is the radius
h is the altitude/height
for any pointed solid:
V = 1/3BH
where B is the area of the base
H is the altitude perpendicular to the horizontal
