2nd Semester Final Flashcards by Meghan Lehmann | Brainscape

Q

Distance on a coordinate plane

A

_ | (x2-x1)^2 + (Y2-Y1)^2

|

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Q

Arc length

A

X
— • 2 Pi r
360

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Q

Midpoint on a number line

A

a+b
———
2

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Q

Midpoint on a coordinate plane

A

( x1+x2 Y1+y2)
( –––––, ––––––)
( 2 2 )

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Q

Area of a square

A

S^2

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Q

Area of a rectangle

A

BH

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Q

Area of a parallelogram

A

BH

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Q

Area of a trapezoid

A

1/2 h(b1+b2)

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Q

Area of a rhombus

A

1/2d1d2 or BH

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Q

Area of a triangle

A

1/2bh

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Q

Area of a regular polygon

A

1/2 a(apothem) p(perimeter)

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Q

Area of a circle

A

Pi r^2

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Q

Area of a sector of a circle

A

X
–––– • pi r^2
360

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Q

Lateral surface area of a prism

A

P(perimeter)H(height)

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Q

Lateral surface area of a cylinder

A

2 pi r h

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Q

Lateral surface area of a pyramid

A

1/2 PL(slant height)

Q

Lateral surface area of a cone

A

Pi r L

Q

Total surface area of a prism

A

Ph+2B

Q

Total surface are of a cylinder

A

2 Pi r h + 2 pi r^2

Q

Total surface area of a pyramid

A

1/2PL + B

Q

Total surface area of a cone

A

Pi r L + pi r^2

Q

Total surface area of a sphere

A

4 pi r^2

Q

Volume of a cube

A

S^3

Q

Volume of a rectangular prism

A

Lwh

Q

Volume of a prism

A

Bh

Q

Volume of a cylinder

A

Pi r^2 h

Q

Volume of a pyramid

A

1/3 Bh

Q

Volume of a cone

A

1/3 Pi r^2 h

Q

Volume of a sphere

A

4/3 pi r^3

Q

Sin Cos Tan

A

Sin=opposite
Hypotenuse

Cos=adjacent
Hypotenuse

Tan=opposite
Adjacent

Q

Law of sines

A

Sin A Sin B Sin C
—— = ——- = ———
a b c

Q

Pythagorean theorem

A

a^2+b^2=c^2

Q

Law of Cosines for a b c

A

a^2=b^2+c^2-2(b)(c) cos A

Q

Quadratic formula

A

__________
-b+ _ | b^2-4(a)(c)
\ | 2(a)

Q

Slope

A

Y2-Y1
———
X2-X1