Circular Measure Flashcards
1
Q
Sine rule
A
sinA/a = sinB/b = sinC/c
or
a/sinA = b/sinB = c/sinC
2
Q
Cosine rule
length
angle
A
a² = b² + c² - 2bc x cosA
cosA = [a² - b² - c²] / -2bc
3
Q
Area of a non-right angle triangle
A
[b x c x sinA] / 2
4
Q
Sector v Segment
A
Sector is area between 2 radii and circumference
Segment is area between chord and circumference
5
Q
Radians
circular measure topic
conversion 1
conversion 2
A
All angles measured and solved in the circular measure topic should be done/given in radians (abbreviation rad)
Radian to degrees:
x radian • 180/π
Degrees to radian:
xº • π/180
6
Q
Arc length
radians
degrees
A
S = rθ
S = 2πr • θ/360
7
Q
Area of a sector
radians
degrees
A
A = 1/2r²θ
A = πr² • θ/360
8
Q
Area of a segment (radians)
A
A = 1/2r²(θ - sinθ)
