Pure: Chapter 5 - Radians Flashcards

1
Q

π =

A

180°.

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2
Q

Arc Length equation (radians):

A

L = r θ
(Arc Length = Radius X Angle)

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3
Q

Arc length equation (degrees):

A

L = 2πr (θ / 360)

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4
Q

Area of sector (radians):

A

A = 1/2 r^2 θ

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5
Q

Area of sector (degrees):

A

A = π r^2 (θ / 360)

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6
Q

Area of segment (radians):

A

1/2 r^2 (θ - sin θ)

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7
Q

Area of segment (degrees):

A

Sector Area - Triangle Area (possibly Sin rule).

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8
Q

Small Angle Approximations
sin θ =

A

θ

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9
Q

Small Angle Approximations
cos θ =

A

θ

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10
Q

Small Angle Approximations
tan θ =

A

1 - [(θ)^2 / 2]

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