Circle Properties
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Questions and Answers

What is the formula to calculate the circumference of a circle when the radius is given?

Circumference = 2 × π × Radius

What is the relationship between the diameter and radius of a circle?

The diameter is twice the length of the radius, or the radius is half the length of the diameter.

What is the approximate value of the mathematical constant pi (Ï€)?

3.14159

What is the formula to calculate the circumference of a circle when the diameter is given?

<p>Circumference = π × Diameter</p> Signup and view all the answers

What is the definition of the diameter of a circle?

<p>The longest distance across a circle, passing through its center</p> Signup and view all the answers

Study Notes

Circle Properties

Circumference

  • The distance around a circle
  • Calculated using the formula: Circumference = 2 × Ï€ × Radius
  • Alternatively, Circumference = Ï€ × Diameter

Diameter

  • The longest distance across a circle, passing through its center
  • Twice the length of the radius
  • Calculated using the formula: Diameter = 2 × Radius

Radius

  • The distance from the center of a circle to its edge
  • Half the length of the diameter
  • Calculated using the formula: Radius = Diameter ÷ 2

Pi (Ï€)

  • A mathematical constant approximately equal to 3.14159
  • An irrational number, meaning it cannot be expressed as a finite decimal or fraction
  • Used in circle calculations, such as Circumference = Ï€ × Diameter

Circle Properties

  • The circumference of a circle is the distance around it.
  • Circumference is calculated using the formula: Circumference = 2 × Ï€ × Radius or Circumference = Ï€ × Diameter.
  • The diameter of a circle is the longest distance across it, passing through its center, and is twice the length of the radius.
  • Diameter can be calculated using the formula: Diameter = 2 × Radius.
  • The radius of a circle is the distance from its center to its edge, and is half the length of the diameter.
  • Radius can be calculated using the formula: Radius = Diameter ÷ 2.

Pi (Ï€)

  • Pi (Ï€) is a mathematical constant approximately equal to 3.14159.
  • Pi is an irrational number, meaning it cannot be expressed as a finite decimal or fraction.
  • Pi is used in circle calculations, such as Circumference = Ï€ × Diameter.

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Learn about the properties of a circle, including circumference, diameter, and radius, and how to calculate them using formulas.

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