formulas Flashcards

1
Q

area of a full circle

A

πr^2

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2
Q

area of a semi circle

A

πr^2
——
2

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3
Q

area of a quadrant

A

πr^2
——
4

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4
Q

area of a triangle

A

base x perpendicular height
——————————
2

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5
Q

area of a trapezium

A

(a + b) x height
———————
2

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6
Q

area of a sector

A

(πr^2) x (θ ÷ 360)

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7
Q

volume of a pyramid / cone

A

(area of base) x height
——————————-
3

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8
Q

volume of a sphere

A

4
—— x πr^3
3

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9
Q

volume of a prism

A

cross sectional area x length

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10
Q

volume of a cylinder

A

πr^2 x height

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11
Q

perimeter of a semi circle

A

(πd ÷ 2) + d

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12
Q

perimeter of a sector

A

(πd) x (θ ÷ 360) + d

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13
Q

perimeter of a quadrant

A

(πd ÷ 4) + d

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14
Q

circumference of a circle

A

πd

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15
Q

arc length

A

πd x (θ ÷ 360)

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16
Q

midpoints of a line

A

(x1 + x2 , y1 + y2)
——— ———
2 2

17
Q

finding the distance between two coordinates / length of a line segment

A

√(x2 - x1)^2 + (y2 - y1)^2

18
Q

equation of a line

A

y=mx+c

19
Q

gradient of a line

A

rise / run or y2 - y1
———
x2 - x1

20
Q

what is the cosine formula for missing lengths?

A

a^2 = b^2 + c^2 - 2bccosA

21
Q

what is the cosine formula for missing angles?

A

cos^-1 (b^2 + c^2 - a^2 / 2bc)