Podcast
Questions and Answers
What is the formula to calculate the circumference of a circle when the radius is given?
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?
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 (π)?
What is the approximate value of the mathematical constant pi (π)?
3.14159
What is the formula to calculate the circumference of a circle when the diameter is given?
What is the formula to calculate the circumference of a circle when the diameter is given?
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What is the definition of the diameter of a circle?
What is the definition of the diameter of a circle?
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Study Notes
Circle Properties
Circumference
- The distance around a circle
- Calculated using the formula: Circumference = 2 × π × Radius
- Alternatively, Circumference = π × 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 (π)
- 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 = π × Diameter
Circle Properties
- The circumference of a circle is the distance around it.
- Circumference is calculated using the formula: Circumference = 2 × π × Radius or Circumference = π × 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 (π)
- Pi (π) 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 = π × Diameter.
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Description
Learn about the properties of a circle, including circumference, diameter, and radius, and how to calculate them using formulas.
