Radian measure and its applications Flashcards

1
Q

What is a radian defined as?

A

The angle subtended at the centre of a circle by an arc whose length is equal to the circle’s radius

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2
Q

How is an angle of θ radians notated?

A

θᶜ

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3
Q

How many degrees are in 1ᶜ?

A

180/π

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4
Q

How many radians are in a complete revolution?

A

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5
Q

What is the relationship between a circle’s arc length (l), the radius of the circle (r), and the subtended angle, in radians, at the centre of the circle (θ)?

A

l=rθ

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6
Q

What is the relationship between the area of a sector of a circle (A), the radius of the circle (r), and the central angle, in radians (θ)?

A

A=r²θ/2

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7
Q

What is the relationship between the area of a segment of a circle (A), the radius of the circle (r), and the angle, in radians, subtended at the centre of the circle (θ)?

A

A=r²(θ-sin(θ))/2

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