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Math Help - diameter of a circle

  1. #1
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    diameter of a circle

    I have been stuck on this question for about an hour now, can you please help

    Q. the point (4,-3) is on one end of the diameter of a circle centre (6,5). Find the coordinates on the point on the opposite end of that diameter.
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  2. #2
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    Quote Originally Posted by henry View Post
    I have been stuck on this question for about an hour now, can you please help

    Q. the point (4,-3) is on one end of the diameter of a circle centre (6,5). Find the coordinates on the point on the opposite end of that diameter.
    Center is the mid point of the opposite points of a diameter. If (x, y) are the co-ordinates of the other end of the diameter, then
    find the mid point of the diameter and equate it to the co-ordinates of the center.
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  3. #3
    Super Member 11rdc11's Avatar
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    Quote Originally Posted by henry View Post
    I have been stuck on this question for about an hour now, can you please help

    Q. the point (4,-3) is on one end of the diameter of a circle centre (6,5). Find the coordinates on the point on the opposite end of that diameter.

    \frac{5-(-3)}{6-2}=\frac{8}{2}

    Now add

    6+2= 8

    and

    5 + 8 = 13

    so your other point for the diameter is (8,13)
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