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The number of diagonals in a septagon is ______. - Mathematics

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Question

The number of diagonals in a septagon is ______.

Options

  • 21

  • 42

  • 7

  • 14

MCQ
Fill in the Blanks
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Solution

The number of diagonals in a septagon is 14.

Explanation:

We know that, if a polygon has n sides, then

Number of diagonals = `(n(n - 3))/2`

A septagon is a polygon having seven sides, i.e. n = 7

Number of diagonals in septagon = `(7(7 - 3))/2` = 14

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Notes

A diagonal is a line segment joining two non-consecutive vertices of a polygon.

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Chapter 2: Geometry - Exercise [Page 24]

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NCERT Exemplar Mathematics [English] Class 6
Chapter 2 Geometry
Exercise | Q 2. | Page 24
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