NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 2: Geometry - Multiple Choice Questions
Question 2

Question.  2

The number of diagonals in a septagon is

(A)

21

(B)

42

(C)

7

(D)

14

Detailed Answer with Explanation:

Beginner-friendly steps:

  1. Use the formula for the number of diagonals of an n-sided polygon:

    \[ \\text{Diagonals} \\;=\\; \dfrac{n(n-3)}{2} \]
  2. A septagon has 7 sides. So put n = 7:

    \[ n \\;=\\; 7 \]
  3. Find n − 3:

    \[ n-3 \\;=\\; 7-3 \\;=\\; 4 \]
  4. Multiply n and (n − 3):

    \[ n(n-3) \\;=\\; 7 \times 4 \\;=\\; 28 \]
  5. Divide by 2:

    \[ \dfrac{28}{2} \\;=\\; 14 \]

Answer: 14 (Option D).

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 2: Geometry – Multiple Choice Questions | Detailed Answers