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Figure 138 : Number of chords

Number of chords
Title .... Number of chords Q1. Five points on circle Question Five points A,B,C,D,E on circle How many chords can be traced ? Solution 1. 4 chords : AB, AC, AD, AE 2. 3 chords : BC, BD, BE 3. 2 chords : CD, CE 4. 1 chord : CD Hence there are 1 + 2 + 3 + 4 = 10 chords Q2. Six points on circle Question Six points on circle How many chords can be traced ? Solution Hence there are 1 + 2 + 3 + 4 + 5 = 15 chords Q3. Seven points on circle Question Seven points on circle How many chords can be traced ? Solution Hence there are 1 + 2 + 3 + 4 + 5 + 6 = 21 chords Q4. Eight points on circle Question Eight points on circle How many chords can be traced ? Solution Hence there are 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28 chords Q5. Questions Questions 1. Eleven points on circle, how many chords can be traced ? 2. 101 points on circle, how many chords can be traced ?