Question

13 points are marked on the circumference of a circle such that the distance between consecutive points are equal. If lines are drawn from each point to all other points, how many chords would be formed?


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Answer 1

Answer:

78

Step-by-step explanation:

LET THE POINT BE P₁ P₂ P₃......P₁₃

P₁ CONNECTS P₂...P₁₃=12 POINTS

P₂ CONNECTS 11

P₃=10

AND SO ON

WE WILL GET 1+2+3...+12=n(n+1)/2=12 x 13/2=13x6=78 total chords

pls mark as brainliest....

Answer 2

Given:

13 points are marked on the circumference of a circle such that the distance between consecutive points are equal.

To find:

The total number of chords formed ?

Step-by-step explanation:

• We know that to draw a chord of a circle, only 2 points are required one is the initial point of the chord and another is the endpoint of the chord.

• So, the number of chords that can be drawn through the given 13 points on a circle is given by the permutation and combination concept  

                          $^nC_r= \frac{n!}{r!(n-r)!}$

• Where n is the total number of points on the circumference of a circle and r is the number of points through which a chord is formed.  

                              $^nC_r= \frac{n!}{r!(n-r)!}$

• Here 13 are the total number of points on circle and 2 are the chosen point through which chord is formed

                             $^1^3C_2= \frac{13!}{2!(13-2)!}=\frac{13!}{2!(11!)}$

                                     $\frac{13\times 12\times11!}{2!\times 11!}$

                                    $13\times 6 =78$

• Hence, 78 are the  total number of chords can  formed on the circumference of the circle