Perimeter and Circumference in Geometry
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Questions and Answers

What is the term used to describe the distance around a circle?

  • Radius
  • Diameter
  • Circumference (correct)
  • Perimeter

    • What is a characteristic of a regular polygon?

  • It is a three-dimensional shape
  • All angles are of equal measure (correct)
  • All sides are of unequal length
  • It has fewer than three sides

    • What is the formula to find the perimeter of a regular polygon?

  • n + a
  • n - a
  • n / a
  • n × a (correct)

    • What is the meaning of the prefix 'peri-' in the word perimeter?

    <p>Around</p> Signup and view all the answers

    What type of polygon is a square?

    <p>Regular polygon</p> Signup and view all the answers

    What units are used to measure perimeter and circumference?

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

    What is an irregular polygon?

    <p>A polygon that is not regular, meaning it is not equilateral or equiangular</p> Signup and view all the answers

    What is the formula to find the perimeter of an irregular polygon?

    <p>P = s × n</p> Signup and view all the answers

    What is the perimeter of an equilateral triangle with a side length of 9 units?

    <p>36 units</p> Signup and view all the answers

    What is the perimeter of a square with a side length of 6 units?

    <p>24 units</p> Signup and view all the answers

    What is the formula to find the perimeter of a rectangle?

    <p>P = 2(l + w)</p> Signup and view all the answers

    What is the circumference of a circle with a radius of 12 units?

    <p>40.82 units</p> Signup and view all the answers

    What is a characteristic of an equilateral triangle?

    <p>All sides are congruent</p> Signup and view all the answers

    What is a type of irregular polygon?

    <p>L-shaped polygon</p> Signup and view all the answers

    What is the center of a circle?

    <p>A point equidistant from any point on the circle</p> Signup and view all the answers

    Study Notes

    Perimeter and Circumference

    • Perimeter is the measure of the distance or path around a 2D geometric shape, particularly polygons.
    • Polygons are closed, 2D shapes with at least three straight sides and three angles.
    • Circles are not considered to be polygons, and the distance around a circle is called the circumference.
    • Perimeter and circumference both measure the distance around a geometric shape and are measured in linear units (e.g., inches, feet, meters, kilometers).

    Types of Polygons

    • Regular polygons are equilateral and equiangular, meaning all sides are equal in length and all angles are equal in measure.
    • Irregular polygons are not regular, meaning they are not equilateral or equiangular.
    • Examples of regular polygons include squares and equilateral triangles.
    • Examples of irregular polygons include concave polygons with unequal sides and angles.

    Finding Perimeter

    • The formula for finding the perimeter of a regular polygon is P = n * a, where n is the number of sides and a is the length of one side.
    • The universal formula for finding the perimeter of any polygon (regular or irregular) is P = ∑_side lengths.
    • The formula can be used to find the perimeter of irregular polygons, such as concave L-shaped polygons.

    Perimeter of Specific Shapes

    • The perimeter of an equilateral triangle is found by multiplying the length of one side by 3 (P = 3 * s).
    • The perimeter of a square is found by multiplying the length of one side by 4 (P = 4 * s).
    • The perimeter of a rectangle is found by adding the length and width, and then multiplying by 2 (P = 2 * (l + w)).

    Circumference of a Circle

    • The circumference of a circle is found using the formula C = 2 * π * r, where r is the radius of the circle.
    • The radius is the distance from the center of the circle to any point on the circle's outline.

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    Description

    Learn about the definition and concept of perimeter in geometry, how it differs from circumference, and its relation to polygons and circles.

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