formulas Flashcards
distance formula
d = √(x2 - x1)2 + (y2 - y1)2
midpoint formula
m = ((x1 + x2)/2 , (y1 + y2)/2)
perimeter of a square
P = 4s
area of a square
A = s2
perimeter of a rectangle
P = 2l + 2w
area of a rectangle
A = l * w
perimeter of a triangle
P = a + b + c
(a, b, and c are the side lengths of the triangle
area of a triangle
A = 1/2 b * h
45:45:90 triangle side lenths
x:x:x√2
30:60:90 triangle side lengths
x:x√3:2x
sum of interior angles of a polygon formula
the sum of interior angles = (n-2)180°
n = number of sides
measure of an interior angle of a polygon formula
the measure of an interior angle = ((n-2)180°)/n
n = number of sides
sum of exterior angles of a polygon formula
the sum of exterior angles = 360°
measure of an exterior angle of a polygon formula
the measure of an exterior angle = 360°/n
n = number of sides
area of a cylinder formula
A = 2πr2 + 2πrh
volume of a cylinder formula
V = πr2h
length of a circular sector formula
L = πr(θ/180°)
area of a circular sector formula
A = πr2(θ/360°)
area of a cube formula
A = 6l2
volume of a cube formula
V = l3
area of a rectangular prism formula
A = 2(l * h) + 2(l * w) + 2(h * w)
volume of a rectangular prism formula
V = l * w * h
volume of a sphere formula
V = (4πr3)/3
area of an equilateral triangle formula
A = ((√3)/4)s2
area of a circle formula
A = πr2
perimeter of a circle formula
P = 2πr
same as circumference formula
perimeter of a parallelogram formula
P = 2a + 2b
area of a parallelogram formula
A = b * h
area of a wheel formula
A = π(R2 - r2)
surface area of a sphere formula
S = 4πr2
simple interest formula
A = P(1+rt)
* A = future value
* P = present value
* r = inerest rate
* t = time
compound interest formula
A = P(1 + (r/n))nt
A = future value
P = present value
r = interest rate
t = time
n = number of times interest compounded per “t”
