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8 points are marked on the circumference of a circle. The number of chords obtained by joining these in pairs is?
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8 points are marked on the circumference of a circle. The number of ch...




Number of Chords in a Circle


When 8 points are marked on the circumference of a circle, the number of chords obtained by joining these in pairs can be calculated using the following steps:


Step 1: Calculate the number of ways to choose 2 points out of 8


  • Number of ways to choose 2 points out of 8 = 8C2 = 28



Step 2: Determine the number of chords formed by joining the selected pairs of points


  • Each pair of points forms a unique chord

  • Therefore, the number of chords formed = 28



Step 3: Calculate the total number of chords in the circle


  • Since each chord is counted twice (once for each end point), we need to divide the number of chords by 2

  • Total number of chords = 28 / 2 = 14



Conclusion


  • When 8 points are marked on the circumference of a circle, the number of chords obtained by joining these in pairs is 14.




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8 points are marked on the circumference of a circle. The number of chords obtained by joining these in pairs is?
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