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Math Help - Equation of a circle

  1. #1
    Senior Member euclid2's Avatar
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    Equation of a circle

    A circles equation is xsquared+ysquared=180
    is the point (6,k) is on the circle, determine a value for k.
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  2. #2
    Lord of certain Rings
    Isomorphism's Avatar
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    Quote Originally Posted by euclid2 View Post
    A circles equation is xsquared+ysquared=180
    is the point (6,k) is on the circle, determine a value for k.
    The statement (6,k) is on the circle x^2 + y^2 = 180 means x=6 and y=k satisfies x^2 + y^2 = 180

    So substitute x=6 and y=k and find out k.
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  3. #3
    Senior Member nikhil's Avatar
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    Quote Originally Posted by euclid2 View Post
    A circles equation is xsquared+ysquared=180
    is the point (6,k) is on the circle, determine a value for k.
    x^2+y^2=180
    since (6,k) lie on circle,it will satisfy the equation.so
    6^2+k^2=180
    k^2=180-36=144
    so k=+-12(i.e plus minus 12)
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