Anonymous
Anonymous asked in Science & MathematicsMathematics · 2 months ago

Equations for the circles shown in each graph?

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  • 2 months ago

    First circle has Radius = 6, Center is 0,0

    Eqn is --

    (x-0)² + (y-0)²  =  6²

    =>  x² + y²  =  36 ................ Answer

    ....................................................

    Second Circle --  Radius = ( 3.5 ) Center at ( -1, 6 )

    =>  ( x + 1 )²  +  ( y - 6 )²  =  (3.5)²  .......... Answer

    => ( x + 1 )²  +  ( y - 6 )²  =  (49/4)

    => ( x² + 2x + 1 )  +  ( y² - 12 y + 36 )  =  49/4

    => x² + y² + 2 x- 12 y + 37  =  49/4

    => 4 x² + 4 y² + 8 x - 48 y + 99  =  0

    ...................................

    Third Circle has  Radius  =  3,  Center at (3, -1)

    ( x - 3 )²  +  ( y + 1 )²  =  3²......... Answer

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  • alex
    Lv 7
    2 months ago

    Equation of a circle

    Center (a,b) , radius = r---> (x-a)^2 + (y-b)^2 = r^2

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