Radians Flashcards
1
Q
How do you convert radians to degrees?
A
radians * 180/π = degrees
2
Q
How do you convert degrees to radians?
A
degrees * π/180 = radians
3
Q
What is the equation for arc length?
A
l = rθ l = arc length r = radius θ = angle in radians
4
Q
What is a sector?
A
Portion of a circle enclosed by two radii and an arc
5
Q
What is the equation for the area of a sector?
A
A = 1/2 r2θ
A = area of a sector
r = radius
θ = angle in radians
6
Q
What is a segment?
A
Area enclosed between a chord and an arc
7
Q
What is the equation for the area of a segment?
A
A = 1/2 r2 (θ-sinθ)
A = area of segment
r = radius
θ = angle in radians
8
Q
What is the small angle approximation of sine?
A
sinθ ≈ θ
9
Q
What is the small angle approximation of tanθ?
A
tanθ ≈ θ
10
Q
What is the small angle approximation of cosine?
A
cosθ ≈ 1- (θ2/2)
