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What fraction of the whole circle is minor arc RP in the given figure ?
  • a)
    1/5 of the circle
  • b)
    1/2 of the circle
  • c)
    1/4 of the circle
  • d)
    1/3 of the circle
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
What fraction of the whole circle is minor arc RP in the given figure ...
  1. The central angle subtended by the minor arc RP is:
    Minor arc RP =∠POQ =120
  2. The fraction of the circle represented by the minor arc RP is:
    Fraction=Central Angle / Total Angle of the Circle
    Substituting the values:
    Fraction = 120/ 360= 1 / 3
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Most Upvoted Answer
What fraction of the whole circle is minor arc RP in the given figure ...
1.First find major angle POR
2.Tgen find minor angle POR by subtracting the major angle from 360 degree
3.Tge angle you get is the angle made be arc PR
4.So divide the angle you get by 360 degree to get your answer.

Procedure:-
Major angle POR = 2*120 degree ( because angle suspended by any arc in centre is double the angle suspended by same arc on circle)
so major angle POR =240 degree
Now
minor angle POR =240-360 degree = 120 degree
So angle formed by arc minor PR in centre is 120 degree

So fraction of whole circle as compared to minor arc PR = angle suspended by minor arc : whole angle i.e 360
=120:360
=1:3
Or we can say arc is
1:3 = 1/3 of circle
Hence (D) is true
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What fraction of the whole circle is minor arc RP in the given figure ?a)1/5 of the circleb)1/2 of the circlec)1/4 of the circled)1/3 of the circleCorrect answer is option 'D'. Can you explain this answer?
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