Arcs of a circle

Arcs of a circle

Lessons

  • Introduction
    a)
    Terms related to circles
    • Radius
    • Diameter
    • Circumference
    • Central angle
      • minor arc
      • major arc
    • Inscribed angle
    • Chord
      • perpendicular bisector
    • Tangent
      • point of tangency

    b)
    How to find the length of an arc?
    • by Central angle
    • by Proportion
    • by Using formula a = Θr



  • 1.
    Find the length of the arc in red.
    a)

    Finding arcs of a circle given radius and angle

    b)

    Calculate the arc length using the given angle and diameter

    c)

    Relationship among arcs of a circle, angle, and radius


  • 2.
    In the following circle, AD is diameter and BC \bot EF, and the radius is 7. Find the measures of:
    Arcs of a circle
    a)
    arcAB arc AB

    b)
    arcABE arc ABE

    c)
    arcAEC arc AEC

    d)
    BFD \angle BFD


  • 3.
    On circle D, arcAB= 105°, arcBC= 140° and arcABC= 245°. Point E is on the circle D too and arcCE= 145°. Explain what E must be on ArcAB.

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