Perimeter Calculation Quiz

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Questions and Answers

What is the definition of perimeter?

Perimeter refers to the continuous line forming the boundary of a closed geometric figure.

How is the perimeter of a rectangle calculated?

The perimeter of a rectangle is calculated by adding together the lengths of all four sides, using the formula 2 × (length + width).

Can the perimeter of a circle be calculated? If so, how?

Yes, the perimeter of a circle can be calculated using the formula 2 × π × radius, where π is approximately 3.14 and radius is the distance from the center to any point on the circle's circumference.

Calculate the perimeter of a rectangle with a length of 8 units and a width of 5 units.

<p>26 units</p> Signup and view all the answers

Find the perimeter of a square with an area of 49 square units.

<p>28 units</p> Signup and view all the answers

If the perimeter of a regular polygon is 40 cm and each side has a length of 8 cm, how many sides does the polygon have?

<p>5 sides</p> Signup and view all the answers

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Study Notes

Perimeter Definition

  • The perimeter is the distance around a shape or figure.

Perimeter of a Rectangle

  • The perimeter of a rectangle is calculated by adding the lengths of all its sides.
  • The formula to calculate the perimeter of a rectangle is: P = 2(l + w), where l is the length and w is the width.
  • Example: For a rectangle with a length of 8 units and a width of 5 units, the perimeter is P = 2(8 + 5) = 2(13) = 26 units.

Perimeter of a Circle

  • The perimeter of a circle is also known as the circumference.
  • The formula to calculate the circumference of a circle is: C = 2πr, where r is the radius.

Perimeter of a Square

  • The perimeter of a square is equal to 4 times the length of one side.
  • Example: For a square with an area of 49 square units, the side length is √49 = 7 units, so the perimeter is 4 × 7 = 28 units.

Perimeter of a Regular Polygon

  • The perimeter of a regular polygon is equal to the number of sides multiplied by the length of one side.
  • Example: If the perimeter of a regular polygon is 40 cm and each side has a length of 8 cm, the number of sides is 40 ÷ 8 = 5 sides.

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