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Math Help - center of a circle

  1. #1
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    Question center of a circle

    Hi,
    i think my question formation was wrong. i will ask it in different way. I have an arc . and the end points of the arc are say (x1,y1) and (x2,y2). i have the radius of the circle( R). Now i need to find out the center of the circle(X,Y). I need the equation of finding the center of circle using above information and the centre is not at origin. Thanking you in advance.
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  2. #2
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    Quote Originally Posted by prabhakar157
    Hi,
    i think my question formation was wrong. i will ask it in different way. I have an arc . and the end points of the arc are say (x1,y1) and (x2,y2). i have the radius of the circle( R). Now i need to find out the center of the circle(X,Y). I need the equation of finding the center of circle using above information and the centre is not at origin. Thanking you in advance.
    Hello,

    I don't know if this way may be of any help:

    Let  x_c the x-value of the centre of the circle and
    let  y_c the y-value of the centre of the circle and
    let  x_1 , y_1 the coordinates of a point on the circle

    Than the equation \left( x_c - x_1 \right)^2+\left( y_c - y_1 \right)^2=R^2 describes the circle completely.

    Put in the values you know. You'll get 2 equations which you can solve for  x_c and  y_c.

    Don't be afraid: The 2 equations look very ugly at the beginning but all squares will vanish rapidly.

    Greetings
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  3. #3
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    Quote Originally Posted by earboth
    Hello,

    I don't know if this way may be of any help:

    Let  x_c the x-value of the centre of the circle and
    let  y_c the y-value of the centre of the circle and
    let  x_1 , y_1 the coordinates of a point on the circle

    Than the equation \left( x_c - x_1 \right)^2+\left( y_c - y_1 \right)^2=R^2 describes the circle completely.

    Put in the values you know. You'll get 2 equations which you can solve for  x_c and  y_c.

    Don't be afraid: The 2 equations look very ugly at the beginning but all squares will vanish rapidly.

    Greetings
    And there should be two solution points.

    RonL
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  4. #4
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    Thumbs up Thanks for ur reply

    Hi,
    Thanks for ur reply. i got the answer which i was looking for. Thank you.
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