** Math Video Game! Play Fraction Balls!


A+    A−    B  
Home
Algebra
Math Games
  • Decimals in Space
  • Fraction Balls
  • Integers in Space
  • Math Man
  • Number Balls
  • Geometry
    Interactive
    Trigonometry
    Jobs
  • Tutoring jobs
  • New York Tutoring Jobs
  • White Plains, NY
  • Westchester County, NY
  • Chicago Math Jobs
  • Philadelphia
  • Teacher Resources
    On FaceBook!

    Chord, Tangent and the Circle

    The Intersection of a Tangent and Chord

    Picture of chord and tangent, angle and arc

      The Theorem: An Angle formed by a chord and a tangent that intersect on a circle is half the measure of the intercepted arc

      Look at the picture on the left

      • arc abc

        This means that the measure of arc ABC (the purple portion of the circle itself) is twice the measure of angle C.

    Practice Problems


    Angles formed by chords and tangents

    Use the theorem above to find the measure of angle formed by the intersection of the tangent that intersects chord AC. Picture of angle formed by tangent and chord


     Measure of angle  

     

    What is the ?

    Answer


    For measaure of arc abc (the measure of arc ABC) to equal ¾ the total measure of the circle's circumference, what must be the value of X ?
    Answer
    Look at Circle 1 and Circlce 2 below. In only one of the two circles does a tangent interesect with a chord. Which circle is it?
    Answer


    Top