Answered

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Which equation represents a circle with center (12, 9) and diameter of 12 units?

Sagot :

Given:-

[tex]\lparen12,9),d=12[/tex]

To find the equation of the circle.

So now we use the formula,

[tex]\left(x-a\right)^2+\left(y-b\right)^2=r^2[/tex]

Since the diameter value is given as 12. we get the radius value as 6. so we get,

[tex]\lparen x-12)^2+\left(y-9\right)^2=6^2[/tex]

So our required equation is,

[tex]\operatorname{\lparen}x-12)^2+\left(y-9\right)^2=36[/tex]

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