math_formulas_20240927190005 Flashcards by Syed Hasan | Brainscape

Q

Simple interest

A

prt

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Q

Compound interest

A

P(1+r/n)ⁿᵗ

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Q

Area of circle

A

πr^2

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Q

Circumference

A

2πr

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Q

Surface area of sphere

A

4πr²

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Q

Volume of sphere

A

4/3πr³

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Q

Perimeter of a triangle

A

a+b+c

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Q

Volume of cylinder

A

πr²h

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Q

Surface area of sphere

A

4πr²

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Q

Surface area of cylinder

A

2πrh+2πr²

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Q

Quadratic formula

A

(-b±√b²-4ac)/2a

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Q

Area of triangle with sin

A

(1/2)bc*sinA

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Q

Exterior angle of a shape

A

360°/n

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Q

Interior angle of a shape

A

((n-2)180°)/n

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Q

Sine rule

A

SinA/a = SinB/b = SinC/c

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Q

Surface area of cuboid

A

2(lw+lh+wh)

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Q

Volume of cuboid

A

lbh

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Q

Law of cosine

A

c²=a²+b²−2ab cos⁡C

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Q

Speed

A

d/t

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Q

arc length of sector

A

2πr(θ/360)

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Q

arc length

A

(θ/360)2πr

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Q

Pythagorean theorem

A

a^2+b^2=c^2

Q

+?

A

Top left: S
Top right : A
Bottom right: C
Bottom left: T

Q

θ? in ‘+’ A?

A

0

Q

θ? in ‘+’ S?

A

180-θ

Q

θ? in ‘+’ T?

A

180+θ

Q

θ? in ‘+’ C?

A

360-θ

Q

length of a line

A

√((x2-x1)²+(y2-y1)²)

Q

slope of a line

A

(y2-y1)/(x2-x1)

Q

Finding upper bound with division

A

UB/LB

Q

Finding upper bound with subtracion

A

UB-LB

Q

Finding lower bound with division

A

LB/UB

Q

Finding lower bound with subtraction

A

LB-UB

Q

Area of sector

A

(θ/360)πr²

Q

How many sides in a quadrilateral

A

4

Q

How many sides in a pentagon

A

5

Q

How many sides in a hexagon

A

6

Q

How many sides in a heptagon

A

7

Q

How many sides in a octagon

A

8

Q

How many sides in a nonagon

A

9

Q

How many sides in a decagon

A

10

Q

Formula for arc length with degrees

A

(θ/360)2πr

Q

Geometric sequence

A

a(r)ⁿ⁻¹

Q

Arithmetic sequence

A

a+(n-1)d

Q

Frequency density

A

frequency/class width

Q

Formula for class width

A

Max value of class - min value of class

Q

Midpoint of a line

A

{(x1+x2)/2}, {(y1+y2)/2}

Q

Surface area of cone

A

πrl

Q

Volume of cone

A

πr²h(1/3)

Q

Volume of pyramid

A

(lwh)/3

Q

When to use arithmetic formula?

A

Common difference (-3, -3, -3)

Q

When to use geometric formula?

A

Common ratio (×2, ×2, ×2)

Q

Find gradient of gradient

A

d²y/dx²

Q

Finding nature of stationary points

A

d²y/dx²