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5th year functions question.

  • 23-03-2014 8:44am
    #1
    burrenguy
    Registered Users, Registered Users 2 Posts: 416 ✭✭


    Hi guys, would appreciate some help on this.
    Question: Express the length l of a chord of a circle of radius 5 as a function of its distance x from the centre of the circle, and determine the domain of the function.
    Answer is l=2(square root of 25-x squared)

    Thanks!


Comments

  • #2
    Mr Pseudonym
    Closed Accounts Posts: 1,237 ✭✭✭Mr Pseudonym


    My understanding is that the convention in this forum is to give hints rather than full explanations! Therefore: draw a diagram including the chord, its perpendicular bisector (which passes through the centre of the circle), and the line segment from the centre to an end-point of the chord (the length of which is known). Pythagros' theorem from there!


  • #3
    burrenguy
    Registered Users, Registered Users 2 Posts: 416 ✭✭burrenguy


    thank you!


  • #4
    Mr Pseudonym
    Closed Accounts Posts: 1,237 ✭✭✭Mr Pseudonym


    burrenguy wrote: »
    thank you!

    No probs! Well done for being up and studying so early! :)


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