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 (Ï€)?
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?
What is the formula to calculate the circumference of a circle when the diameter is given?
What is the definition of the diameter of a circle?
What is the definition of the diameter of a circle?
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 (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 = 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 (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 = π × Diameter.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Learn about the properties of a circle, including circumference, diameter, and radius, and how to calculate them using formulas.