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22 July, 14:25

Describe the circle given by the equation (x - 7) ^2 + (y - 8) ^2 = 9.

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  1. 22 July, 14:58
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    The circle (x - 7) ² + (y - 8) ² = 9 is a circle with center (7,8) and radius is 3

    Step-by-step explanation:

    Equation of circle with (h, k) as center and radius r is given by,

    (x-h) ² + (y-k) ² = r²

    Here we need to describe the circle given by the equation (x - 7) ² + (y - 8) ² = 9

    Changing equation to (x-h) ² + (y-k) ² = r² form

    (x - 7) ² + (y - 8) ² = 9

    (x - 7) ² + (y - 8) ² = 3²

    So, h = 7, k = 8 and r = 3

    Center is (7,8) and radius is 3

    The circle (x - 7) ² + (y - 8) ² = 9 is a circle with center (7,8) and radius is 3
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