Formulas

Question 1

What is the Pythagorean Theorem?

Answer 1

a² + b² = c²

Question 2

Sine Ratio is defined as which sides of a right triangle?

Answer 2

opposite side / hypotenuse

Question 3

Cosine Ratio is defined as which sides of a right triangle?

Answer 3

adjacent side / hypotenuse

Question 4

Tangent Ratio is defined as which sides of a right triangle?

Answer 4

opposite side / adjacent side

Question 5

What is the equation of a circle with center not at the origin?

Answer 5

(x-h)² + (y-k)² = r²

Question 6

What is the formula for the area of a rectangle?

Answer 6

A = lw

Question 7

What is the formula for the area of a square?

Answer 7

A = s²

Question 8

What is the formula for the area of a parallelogram?

Answer 8

A = bh

Question 9

What is the formula for the area of a triangle?

Answer 9

A = ½bh

Question 10

What is the formula for the area of an equilateral triangle?

Answer 10

A = s²√3 / 4

Question 11

What is the formula for the area of a rhombus?

Answer 11

A = ½(d₁ × d₂)

Question 12

What is the formula for the area of a trapezoid?

Answer 12

A = ½h(b₁ + b₂)

Question 13

What is the formula for the area of a regular polygon?

Answer 13

A = ½Pa

Question 14

What is the formula for the area of a circle?

Answer 14

A = πr²

Question 15

What is the formula for the area of a sector of a circle?

Answer 15

A = m⌒AB/360 × πr²

Question 16

How do you calculate the area of a segment of a circle?

Answer 16

Area of sector - Area of Triangle

Question 17

What is the formula for the circumference of a circle?

Answer 17

C = 2πr

Question 18

What is the formula for the lateral area of a prism?

Answer 18

LA = Ph

Question 19

What is the formula for the lateral area of a pyramid?

Answer 19

LA = ½Pℓ

Question 20

What is the formula for the lateral area of a cylinder?

Answer 20

LA = Ch

Question 21

What is the formula for the lateral area of a cone?

Answer 21

LA = ½Cℓ

Question 22

What is the formula for the surface area of a prism?

Answer 22

SA = 2B + Ph

Question 23

What is the formula for the surface area of a pyramid?

Answer 23

SA = B + ½Pℓ

Question 24

What is the formula for the surface area of a cylinder?

Answer 24

SA = 2B + Ch

Question 25

What is the formula for the surface area of a cone?

Answer 25

SA = B + ½Cℓ

Question 26

What is the formula for the surface area of a sphere?

Answer 26

SA = 4πr²

Question 27

What is the formula for the volume of a prism?

Answer 27

V = Bh

Question 28

What is the formula for the volume of a pyramid?

Answer 28

V = 1/3Bh

Question 29

What is the formula for the volume of a cylinder?

Answer 29

V = Bh

Question 30

What is the formula for the volume of a cone?

Answer 30

V = 1/3Bh

Question 31

What is the formula for the volume of a sphere?

Answer 31

V = 4/3πr³

Question 32

What is the midpoint formula?

Answer 32

m = (x₁ + x₂/2), (y₁ + y₂/2)

Question 33

What is the distance formula?

Answer 33

D = √(x₂-x₁)² + (y₂-y₁)²

Question 34

What is the slope formula?

Answer 34

m = (y₂ - y₁) / (x₂ - x₁)

Question 35

What is the slope-intercept equation of a line?

Answer 35

y = mx + b

Question 36

What is the point-slope equation of a line?

Answer 36

y - y₁ = m(x - x₁)

Question 37

What is the standard equation of a line?

Answer 37

ax + by = c

Question 38

What is the formula for the sum of interior angles of a polygon?

Answer 38

180(n - 2)

Question 39

What is the measure of an interior angle of a regular polygon?

Answer 39

180(n - 2) / n

Question 40

What is the measure of each exterior angle of a polygon?

Answer 40

360 / n

Question 41

What is the sum of exterior angles of a convex polygon?

Answer 41

360