whats the Maximum no. of chords a circle can have? with prove. ( warning I don't want idiot answer)
Answers
Answer:
I can solve this question with 8 points
A) Draw a circle.
B) Consider your circle to be the face of a magnetic compass. On its circumference mark the 2 sets of points which correspond to the compass directions: a) N, S, E, W. b) NE, SE, SW, NW. You will now have a circle with 8 fairly equally spaced points on its circumference. Number them in clockwise order from 1 to 8.
C) Draw chords using the notation 1–2 meaning ‘point 1 to point 2’.
a) Draw chords: 1–2, 1–3, 1–4, 1–5, 1–6, 1–7, 1–8. Note how many chords you’ve drawn so far.
b) Draw chords: 2–3, 2–4, 2–5, 2–6, 2–7, 2–8, Note how many additional chords you've drawn.
c) Draw chords: 3–4, 3–5, etc. [you should by now be able to write down the instructions to continue this systematic approach and to identify the number pattern which emerges for the number of chords you draw from each of the 8 points.
You will find that you draw a total of 28 chords. There will be 7 chords radiating from each point (because there are 7 other points for a chord to be drawn to), and that although there are 8 points having 7 chords radiating from them, and 8 x 7 = 56, there are only 28 chords in total.