Formula's

Question 1

Slope

M = __________________

Answer 1

M = Y₂ - Y₁ ÷ X₂ - X₁

Question 2

The arc length is the length of that portion of the circumference between two points on the circle.

The formula for arc lenght is _________________.

Answer 2

s = 𝜋r∅ ÷ 180^o

s = arc length

r = length of radius

∅ = angular measure of the arc in radians

(2𝜋 radians = 360^o)

Question 3

A sector is a portion of a circle formed by two radii and their intercepted arc. (slice of pie)

The area of a sector of a circle is ________________.

Answer 3

A = ∅r² ÷ 2

A = area

∅ = measure of central angle in radians

r = radius

(in degrees) A = ∅𝜋r² ÷ 360

∅ = measure of central angle in degrees

r = radius

Question 4

The perimeter of any triangle is found by _________ the three side lengths.

Answer 4

summing

P = a + b + c

Question 5

The perimeter of a square is found by using the formula _____________.

Answer 5

P = 4s

Question 6

The perimeter of a rectangle is ________________.

Answer 6

P = 2L + 2W

or

P = 2(L + W)

Question 7

The perimeter of a parallelogram is found by the formula _____________.

Answer 7

P = 2a + 2b

or

P = 2(a + b)

Question 8

The perimeter of a trapezoid is found by the formula _______________.

Answer 8

P = a + b₁ + c + b₂

Question 9

The circumference of a circle is found by the formula ______________.

Answer 9

C = 2𝜋r

r = radius

(convert diameter to radius if given diameter)

Question 10

The area of any triangle can be found by using the formula ___________.

Answer 10

A = ¹/₂bh

Question 11

The area of a square can be found by using the formula _______________.

Answer 11

A = s²

s = length of 1 side

Question 12

The area of a rectangle is found by the formula _______________.

Answer 12

A = lw

Question 13

The area of a parallelogram is found by using the formula _____________.

Answer 13

A = bh

Question 14

The area of a trapezoid is found by the formula ______________.

Answer 14

A = ¹/₂h(b₁ + b₂)

Question 15

The area of a circle is found by using the formula ______________.

Answer 15

A = 𝜋r²

Question 16

The surface area of any prism is ______________________________.

Answer 16

the sum of the areas of both bases and all sides.

Question 17

The volume of any prism is found with the formula _______________.

Answer 17

V = Bh

B = area of base

h = height

Question 18

The surface area of a sphere can be found with the formula ________________.

Answer 18

A = 4𝜋r²

Question 19

The volume of a sphere can be found with the formula ________________.

Answer 19

V = ⁴/₃𝜋r³

Question 20

The volume of a cube can be found with the formula _______________.

Answer 20

V = s³

Question 21

The surface area of a cube can be found with the formula _________________.

Answer 21

SA = 6s²

Question 22

The surface area of a rectangular prism can be found with the formula _________________

Answer 22

SA = 2lw + 2hl + 2wh

or

SA = 2(lw + hl + wh)

Question 23

The volume of a rectangular prism can be found with the formua _________________.

Answer 23

V = lwh

Question 24

The surface area of a cylinder can be found by the formula _______________.

Answer 24

SA = 2𝜋r² + 2𝜋rh

Question 25

The volume of a cylinder can be found with the formula _______________.

Answer 25

V = 𝜋r²h

Question 26

Answer 26

Parallelogram: a quadrilateral that has exactly two pairs of opposite parrallel sides.

Question 27

Answer 27

Rhombus: a parallelogram with four congruent side (equal sides). The diagonals of a rhombus are perpendicular to one another.