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
2
Q
How is an angle of θ radians notated?
A
θᶜ
3
Q
How many degrees are in 1ᶜ?
A
180/π
4
Q
How many radians are in a complete revolution?
A
2π
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
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
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
