The number of diagonals in a hexagon is:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 9
A diagonal joins two corners that are not next to each other. From any corner of a hexagon, it cannot go to itself or to its two neighbours.
Diagonals from each corner: \(6-3=3\)
From all 6 corners: \(6\times3=18\), but each diagonal is counted from both its ends
Diagonals \(=18\div2=9\), the same as \(\displaystyle\frac{n(n-3)}{2}\) with \(n=6\)
