formulas

Question 1

distance formula

Answer 1

d = √(x₂ - x₁)² + (y₂ - y₁)²

Question 2

midpoint formula

Answer 2

m = ((x₁ + x₂)/2 , (y₁ + y₂)/2)

Question 3

perimeter of a square

Answer 3

P = 4s

Question 4

area of a square

Answer 4

A = s²

Question 5

perimeter of a rectangle

Answer 5

P = 2l + 2w

Question 6

area of a rectangle

Answer 6

A = l * w

Question 7

perimeter of a triangle

Answer 7

P = a + b + c
(a, b, and c are the side lengths of the triangle

Question 8

area of a triangle

Answer 8

A = 1/2 b * h

Question 9

45:45:90 triangle side lenths

Answer 9

x:x:x√2

Question 10

30:60:90 triangle side lengths

Answer 10

x:x√3:2x

Question 11

sum of interior angles of a polygon formula

Answer 11

the sum of interior angles = (n-2)180°

n = number of sides

Question 12

measure of an interior angle of a polygon formula

Answer 12

the measure of an interior angle = ((n-2)180°)/n

n = number of sides

Question 13

sum of exterior angles of a polygon formula

Answer 13

the sum of exterior angles = 360°

Question 14

measure of an exterior angle of a polygon formula

Answer 14

the measure of an exterior angle = 360°/n

n = number of sides

Question 15

area of a cylinder formula

Answer 15

A = 2πr² + 2πrh

Question 16

volume of a cylinder formula

Answer 16

V = πr²h

Question 17

length of a circular sector formula

Answer 17

L = πr(θ/180°)

Question 18

area of a circular sector formula

Answer 18

A = πr²(θ/360°)

Question 19

area of a cube formula

Answer 19

A = 6l²

Question 20

volume of a cube formula

Answer 20

V = l³

Question 21

area of a rectangular prism formula

Answer 21

A = 2(l * h) + 2(l * w) + 2(h * w)

Question 22

volume of a rectangular prism formula

Answer 22

V = l * w * h

Question 23

volume of a sphere formula

Answer 23

V = (4πr³)/3

Question 24

area of an equilateral triangle formula

Answer 24

A = ((√3)/4)s²

Question 25

area of a circle formula

Answer 25

A = πr²

Question 26

perimeter of a circle formula

Answer 26

P = 2πr

same as circumference formula

Question 27

perimeter of a parallelogram formula

Answer 27

P = 2a + 2b

Question 28

area of a parallelogram formula

Answer 28

A = b * h

Question 29

area of a wheel formula

Answer 29

A = π(R² - r²)

Question 30

surface area of a sphere formula

Answer 30

S = 4πr²

Question 31

simple interest formula

Answer 31

A = P(1+rt)
* A = future value
* P = present value
* r = inerest rate
* t = time

Question 32

compound interest formula

Answer 32

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”