Qualification > Math
maths c2 edexcel
astarmathsandphysics:
2 hours
halosh92:
a circle of radius 12 cm which passes through the points P and Q.
The chord PQ subtends an angle of 120° at the centre of the circle.
(a) Find the exact length of the major arc PQ.
(b) Show that the perimeter of the shaded minor segment is given by
k(2pie + 3sqrt 3 ) cm, where k is an integer to be found.
(c) Find, to 1 decimal place, the area of the shaded minor segment as a percentage
of the area of the circle.
i just cant get part (B)
how do u find it for the chord? any specific formula isnt it that we have to us ethe cosine rule???????
astarmathsandphysics:
olve, for 0 ? x < 360, the equation
3 cos2 x° + sin2 x° + 5 sin x° = 0.
are you sure this is the question?
astarmathsandphysics:
Perimeter =length of chord =sqrt(2r^2(1-cos theta))+r theta =r sqrt(2(1-cos 120))+r*2pi/3=12(sqrt3 +2pi/3)=4(sqrt3+2pi)
halosh92:
--- Quote from: astarmathsandphysics on March 14, 2010, 07:21:02 am ---olve, for 0 ? x < 360, the equation
3 cos2 x° + sin2 x° + 5 sin x° = 0.
are you sure this is the question?
--- End quote ---
0 < x < 360, the equation
3 cos2 x° + sin2 x° + 5 sin x° = 0.
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