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Figure 125 : Angles in circle

    Figure 125 : Angles in circle


  • Q01 | - Diagram
  • Q02 | - Angles in circle
  • Q03 | - Formula about arc
  • Q04 | - References
  • Q05 | - Study questions


    Q01. Diagram





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    Q02. Angles in circle

    Defintion
    • Draw a circle with center at O
    • Draw chord AB and AC
    • Draw tangent BD
    • Angle BOC is called central angle and equal arc in radians
    • Angle BAC is called circumed angle and equal half of arc inradian
      • Angle BAC = (angle BOC)/2
    • Angle DBC is call tangnet chord angle
      • Angle DBC = angle BAC
    • Angle BOC = measure of arc BC in radians

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    Q03. Formula about arc

    • 1. Arc length = Radius*(arc in radian)
    • 2. Sector area BOC = pi*(radius^2)/2

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    Q04. Reference


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    Q05. Questions

    • 1. What is the length of circumference ?
    • 2. What is area of a circle ?
    • 3. What is pi ?
    • 4. What is the locus if point P keeps same distance to fixed point C ?
    • 5. Triangle ABC inscribed circle. If AB is diameter, what is angle C ?

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