Radians

Question 1

How do you convert from degrees to radians?

Answer 1

x π/180

Question 2

How do you convert from radians to degrees?

Answer 2

x 180/π

Question 3

Equation for arc length

Answer 3

Arc length = rθ

Question 4

Equation for sector area

Answer 4

Sector area = 1/2r²θ

Question 5

Derive the equation for segment area

Answer 5

Segment area = sector area - area of triangle
= 1/2r²θ - 1/2absinC
= 1/2r²θ - 1/2r²sinθ
= 1/2r²(θ - sinθ)

Question 6

State the small angle approximations for sin cos and tan

Answer 6

Sinθ = θ
Tanθ = θ
Cosθ = 1 - θ²/2