Octagon Shape Quiz

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Questions and Answers

Which type of octagon is classified by its side lengths?

  • Irregular
  • Convex
  • Regular (correct)
  • Concave

What is the maximum number of side lengths that can be different in an irregular octagon?

  • 4
  • 3
  • 2
  • 1 (correct)

What is the maximum number of interior angles that a convex octagon can have?

  • 9
  • 6
  • 8 (correct)
  • 7

What is the maximum number of interior angles that a concave octagon can have?

<p>9 (D)</p> Signup and view all the answers

Which type of octagon can be both irregular and convex?

<p>Irregular (D)</p> Signup and view all the answers

Which type of octagon has different angle measurements for its angles?

<p>Concave irregular (A)</p> Signup and view all the answers

What is the total measurement of the interior angles in a regular octagon?

<p>1,080 degrees (B)</p> Signup and view all the answers

What is the measurement of each exterior angle in an octagon?

<p>45 degrees (B)</p> Signup and view all the answers

What is the formula for the perimeter of a regular octagon?

<p>Perimeter = side length X 8 (A)</p> Signup and view all the answers

What is the formula for the area of a regular octagon?

<p>Area = side length^2 (D)</p> Signup and view all the answers

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Study Notes

Octagon Classification

  • An irregular octagon is classified by its side lengths.

Irregular Octagons

  • The maximum number of side lengths that can be different in an irregular octagon is 8.

Convex Octagons

  • A convex octagon can have a maximum of 8 interior angles.

Concave Octagons

  • A concave octagon can have more than 8 interior angles.

Octagon Types

  • An irregular octagon can be both irregular and convex.

Angle Measurements

  • An irregular octagon has different angle measurements for its angles.

Interior Angles of a Regular Octagon

  • The total measurement of the interior angles in a regular octagon is 1080 degrees.

Exterior Angles of an Octagon

  • The measurement of each exterior angle in an octagon is 45 degrees.

Perimeter of a Regular Octagon

  • The formula for the perimeter of a regular octagon is P = 8s, where s is the side length.

Area of a Regular Octagon

  • The formula for the area of a regular octagon is A = (2 + 4/cot(Ï€/8))s^2, where s is the side length.

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