If a polygon has 12 sides, how many diagonals can be drawn from one vertex?

Practice Questions

Q1
If a polygon has 12 sides, how many diagonals can be drawn from one vertex?
  1. 9
  2. 10
  3. 11
  4. 12

Questions & Step-by-Step Solutions

If a polygon has 12 sides, how many diagonals can be drawn from one vertex?
  • Step 1: Understand that a polygon is a shape with straight sides. A dodecagon is a polygon with 12 sides.
  • Step 2: Identify that we want to find out how many diagonals can be drawn from one vertex of the dodecagon.
  • Step 3: Recall the formula for finding the number of diagonals from one vertex in an n-sided polygon, which is (n - 3).
  • Step 4: Substitute the number of sides (n) with 12 in the formula: (12 - 3).
  • Step 5: Calculate the result: 12 - 3 equals 9.
  • Step 6: Conclude that from one vertex of a dodecagon, you can draw 9 diagonals.
  • Diagonals in Polygons – Understanding how to calculate the number of diagonals that can be drawn from a single vertex in a polygon based on the number of sides.
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