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Math Help - Equation of cirlcle in standard form.

  1. #1
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    Equation of cirlcle in standard form.

    Write the equation of the circle in standard form. Then give the center and radius.

    10x^2+10y^2=100

    So far I have:
    (x-0)^2+(y-0)^2=100
    (x-0)^2+(y-0)^2=10^2

    center: (0,0) radius: (10)

    I don't think it is correct though. Thank you in advance.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by theevilp0ptart View Post
    Write the equation of the circle in standard form. Then give the center and radius.

    10x^2+10y^2=100

    So far I have:
    (x-0)^2+(y-0)^2=100
    (x-0)^2+(y-0)^2=10^2

    center: (0,0) radius: (10)

    I don't think it is correct though. Thank you in advance.
    it's not correct. the radius is off. what problem do you see with it?
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  3. #3
    MHF Contributor Mathstud28's Avatar
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    The problem I see with this

    is how you came up with (x-0)^2+(y-0)^2=100...something is fishy about that...*cough*division mistake*cough*
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  4. #4
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    Quote Originally Posted by Jhevon View Post
    it's not correct. the radius is off. what problem do you see with it?
    Well, I'm not even sure. It doesn't look right to me. The center is correct? I got the answer for the radium by finding the square root of 100, which is 10. What should I be doing to correct this?
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  5. #5
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by theevilp0ptart View Post
    Well, I'm not even sure. It doesn't look right to me. The center is correct? I got the answer for the radium by finding the square root of 100, which is 10. What should I be doing to correct this?
    you originally had 10 in front of the x^2 and y^2, what happened to them?
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  6. #6
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    Quote Originally Posted by Jhevon View Post
    you originally had 10 in front of the x^2 and y^2, what happened to them?
    I have no idea how I came to that deduction to be honest. My attempt at trying to divide them out. I know how to solve the equation with other variables like x^2+y^2+Dx+Ex+F=0 into standard form, but I can't do this one.

    Should I be trying to get the 10s on the other side of the equation?
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  7. #7
    MHF Contributor Mathstud28's Avatar
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    Here

    10x^2+10y^2=100...now divide by ten to get x^2+y^2=10 making the center (0,0) and the radius \sqrt{10}...you just didnt divde 100 by 10
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  8. #8
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by theevilp0ptart View Post
    I have no idea how I came to that deduction to be honest. My attempt at trying to divide them out. I know how to solve the equation with other variables like x^2+y^2+Dx+Ex+F=0 into standard form, but I can't do this one.

    Should I be trying to get the 10s on the other side of the equation?
    so you just forgot about the 10s?!

    MathStud told you what happened
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