If the perimeter of a regular octagon is 64 cm, what is the length of each side?

Practice Questions

Q1
If the perimeter of a regular octagon is 64 cm, what is the length of each side? (2023)
  1. 6 cm
  2. 8 cm
  3. 10 cm
  4. 12 cm

Questions & Step-by-Step Solutions

If the perimeter of a regular octagon is 64 cm, what is the length of each side? (2023)
  • Step 1: Understand that a regular octagon has 8 equal sides.
  • Step 2: Know that the perimeter is the total length around the shape, which is the sum of all the sides.
  • Step 3: Since all sides are equal in a regular octagon, the perimeter can be calculated as 8 times the length of one side.
  • Step 4: Use the formula: Perimeter = 8 × (length of one side).
  • Step 5: We are given that the perimeter is 64 cm.
  • Step 6: Set up the equation: 64 cm = 8 × (length of one side).
  • Step 7: To find the length of one side, divide the perimeter by 8: length of one side = 64 cm / 8.
  • Step 8: Calculate the result: length of one side = 8 cm.
  • Perimeter of a Regular Polygon – The perimeter of a regular polygon is calculated by multiplying the number of sides by the length of one side.
  • Regular Octagon Properties – A regular octagon has 8 equal sides and angles.
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