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1)
A circle has center ‘O ‘ and circumference 240π
the points A ,B and C are on the circumference of the circle with center O
The rays OA ,OB and OC divides circle in to three
consecutive sector with central angles
∠AOB,∠BOC and ∠COA in the ratio 2:3:5
what is the length AB
Solution:
” O ” is center of the circle The points A ,B and C are on the circumference of the circle
such that the rays OA , OB and OC dives the circumference of the circle in the ration 2;3:5.
the angle subtended by the rays are
2 parts = 2/10 ×360=1/5×360=72
length of the arc= (angle subtended by Arc/360) ×circumference of the circle
that is length of Arc AB = (72/360)×240π
That is length of the arc AB=(1/5)×240π
length of arc AB =48π
Correct ANS: Length of arc AB = 48π
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