Definition and Equation of a Circle

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<ul><li><p>The set of all Points <em>P</em> having the same distance from the center <em>C</em></p></li><li><p>A closed figure made up of all those points in a plane that are at the same distance from a fixed point</p></li></ul>
  • The set of all Points P having the same distance from the center C

  • A closed figure made up of all those points in a plane that are at the same distance from a fixed point

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<ul><li><p>The set of all Points <em>P</em> having the same distance from the center <em>C</em></p></li><li><p>A closed figure made up of all those points in a plane that are at the same distance from a fixed point</p></li></ul>
  • The set of all Points P having the same distance from the center C

  • A closed figure made up of all those points in a plane that are at the same distance from a fixed point

Circle

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2
<ul><li><p>Point <em>C</em> is called</p></li><li><p>Also called <strong>fixed point</strong></p></li></ul>
  • Point C is called

  • Also called fixed point

Center of the Circle

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<p>Common distance from the Center</p>

Common distance from the Center

Radius

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A chord passing through the center of a circle

Diameter

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5

A line segment joining two points on a circle

Chord

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A line intersects two points on a curve

Secant Line

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  • A line that touches a curve at a point

  • A line perpendicular to the center of a circle

Tangent Line

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8
  • Perimeter of a circle

Circumference

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