Which of the following polygons has the greatest number of diagonals? (2023)

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Question: Which of the following polygons has the greatest number of diagonals? (2023)

Options:

Correct Answer: Hexagon

Exam Year: 2023

Solution:

The number of diagonals in a polygon is given by n(n-3)/2. For a hexagon (n=6), it has 9 diagonals, which is more than the others.

Which of the following polygons has the greatest number of diagonals? (2023)

Which of the following polygons has the greatest number of diagonals? (2023)

Step 1: Understand what a polygon is. A polygon is a shape with straight sides, like a triangle or a square.
Step 2: Know that the number of sides in a polygon is represented by 'n'. For example, a triangle has 3 sides, a square has 4 sides, and a hexagon has 6 sides.
Step 3: Learn the formula to find the number of diagonals in a polygon: Diagonals = n(n-3)/2.
Step 4: Identify the polygons you are comparing and their number of sides (n). For example, a hexagon has 6 sides.
Step 5: Plug the number of sides (n) into the formula to calculate the number of diagonals for each polygon.
Step 6: Compare the number of diagonals calculated for each polygon to find out which one has the greatest number.

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