text: Common Core Math Vocabulary
  
  # Circle - Definition with Examples
  
  ## What is a Circle?
  
  Circle Definition: A circle is a closed two-dimensional round shape with no corners or edges. All points on the circle are equidistant from the center of the circle.
  
  OA = OB = OC = OD = OE = OF = OG = OH
  
  ### Circles Around Us
  
  We see circles all around us. For example, objects like buttons, bicycle tires, dart boards, clocks etc are circular in shape.
  
  ## Parts of Circles
  
  #### Radius
  
  The line joining the center of the circle to the boundary is known as the radius of the circle. A circle has many radii. All radii of a circle are of equal length. In the circle above, PQ is the radius.
  
  #### Chord
  
  A line segment joining any two points on the circle is known as the chord of the circle. In the circle above, CB is the chord.
  
  #### Diameter
  
  A chord that passes through the center of the circle is known as the diameter of the circle. A diameter is always the longest chord in a circle. In the figure above, AB is the diameter as it passes through the center P.
  
  #### Circumference
  
  Circumference is the length of the boundary of the circle.
  
  The circumference of a circle is about 3 times the diameter.
  
  ## Relation between Radius, Diameter and Circumference
  
  The diameter of a circle is twice its radius.
  
  In other words, the radius of a circle is half of its diameter.
  
   Diameter = 2 x Radius
  
  The circumference of a circle is approximately thrice the diameter of the circle.
  
   Circumference = 3 x Diameter  (approximately)
  
  This relationship helps to solve many geometry problems.
  
  The Complete K-5 Math Learning Program Built for Your Child
explanation: The document provides a definition and explanation of a circle, including its parts such as radius, chord, diameter, and circumference. It also includes the relationships between these parts. The text does not contain a specific question or a question and answer.
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distilabel_metadata.content: Common Core Math Vocabulary
  
  # Circle - Definition with Examples
  
  ## What is a Circle?
  
  Circle Definition: A circle is a closed two-dimensional round shape with no corners or edges. All points on the circle are equidistant from the center of the circle.
  
  OA = OB = OC = OD = OE = OF = OG = OH
  
  ### Circles Around Us
  
  We see circles all around us. For example, objects like buttons, bicycle tires, dart boards, clocks etc are circular in shape.
  
  ## Parts of Circles
  
  #### Radius
  
  The line joining the center of the circle to the boundary is known as the radius of the circle. A circle has many radii. All radii of a circle are of equal length. In the circle above, PQ is the radius.
  
  #### Chord
  
  A line segment joining any two points on the circle is known as the chord of the circle. In the circle above, CB is the chord.
  
  #### Diameter
  
  A chord that passes through the center of the circle is known as the diameter of the circle. A diameter is always the longest chord in a circle. In the figure above, AB is the diameter as it passes through the center P.
  
  #### Circumference
  
  Circumference is the length of the boundary of the circle.
  
  The circumference of a circle is about 3 times the diameter.
  
  ## Relation between Radius, Diameter and Circumference
  
  The diameter of a circle is twice its radius.
  
  In other words, the radius of a circle is half of its diameter.
  
   Diameter = 2 x Radius
  
  The circumference of a circle is approximately thrice the diameter of the circle.
  
   Circumference = 3 x Diameter  (approximately)
  
  This relationship helps to solve many geometry problems.
  
  The Complete K-5 Math Learning Program Built for Your Child
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document provides a definition and explanation of a circle, including its parts such as radius, chord, diameter, and circumference. It also includes the relationships between these parts. The text does not contain a specific question or a question and answer.
  
  Label: no-question