Home
Class 11
MATHS
Find the number of diagonals of a regula...

Find the number of diagonals of a regular hexagon.

Text Solution

Verified by Experts

Number of vertices of a hexagon = 6
Number of lines `=.^(6)C_(2)=(6!)/(4!2!)=15`
Number of sides = 6
`therefore` Number of diagonals `= 15-6=9`
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    SUBHASH PUBLICATION|Exercise FIVE MARKS QUESTION WITH ANSWERS|3 Videos

  • PROBABILITY

    SUBHASH PUBLICATION|Exercise TWO MARKS QUESTION WITH ANSWER|20 Videos

Similar Questions

Explore conceptually related problems

Find the number of hexagonal faces that are present in a truncated octahedral.

In a polygon, no three diagonals are concurrent. If the total number of points of intersection of diagonals interior to the polygon is 70, then the number of diagonals of the polygon is

Find the radians the interior angle of a regular pentagon.

The interior angles of regular polygon measure 150^(@) each. The each number of diagonals of the polygon is

In a polygon the number of diagonals 77. Find the number of sides of the polygon.

In a polygon the number of diagonals is 54. The number of sides of the polygon, is

Find the length of the diagonal of a square of side 12 cm.

a and b form the consecutive sides of a regular hexagon ABCDEF.

Find the perimeter of a regualr hexagon with each side neasuring 8 m.

The length of the diagonal of a rectangular playground is 125 m and length of one side is 75 m. Find the length of the other side.

SUBHASH PUBLICATION-PERMUTATIONS AND COMBINATIONS -2/3 MARKS QUESTIONS WITH ANSWERS
  1. In how many ways 4 boys and 6 girls be seated in a line so that no two...

    Text Solution

    |

  2. How many words, with or without meaning can be made from the letters o...

    Text Solution

    |

  3. In how many ways can the letters of the word PERMUTATIONS be arranged ...

    Text Solution

    |

  4. In how many ways can the letters of the word 'PERMUTATIONS ' be arrang...

    Text Solution

    |

  5. How many 6 - digit numbers can be formed the digits 0, 1, 3, 5, 7 and ...

    Text Solution

    |

  6. It is required to seat 5 mean and 4 women in a row so that the women o...

    Text Solution

    |

  7. In how many of distinct permutations of the letters in the word MISSIS...

    Text Solution

    |

  8. Find the number of arrangements of the letters of the word INDEPENDENC...

    Text Solution

    |

  9. Find n if .^(n)C(9)=.^(n)C(5).

    Text Solution

    |

  10. A group consists of 5 girls and 6 boys. In how many ways can a team of...

    Text Solution

    |

  11. In how many ways can a team of 3 boys and 3 girls be selected from 5 b...

    Text Solution

    |

  12. A bag contains 5 black and 6 red balls. Determine the number of ways i...

    Text Solution

    |

  13. In how many ways can a student choose a programme of 5 course if 9 cou...

    Text Solution

    |

  14. A committee of 7 has to be formed 9 boys and 4 girls. In how many ways...

    Text Solution

    |

  15. A committee of 7 has to be formed 9 boys and 4 girls. In how many ways...

    Text Solution

    |

  16. A committee of 7 has to be formed 9 boys and 4 girls. In how many ways...

    Text Solution

    |

  17. An examination paper consists of 12 questions diyided in to part A and...

    Text Solution

    |

  18. Find the number of diagonals of a regular hexagon.

    Text Solution

    |

  19. Find the number of ways of dividing 15 things in to groups of 8, 4 and...

    Text Solution

    |

  20. How many words with or without meaning each of 3 vowels and 2 consonan...

    Text Solution

    |