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What is the equation of a circle whose center is begin ordered pair negative 4 comma 6 end ordered pair and whose radius is 9 cm? Question 1 options: open parentheses x minus 4 close parentheses squared plus open parentheses y minus 6 close parentheses squared equals 81 open parentheses x plus 4 close parentheses squared plus open parentheses y minus 6 close parentheses squared equals 3 open parentheses x plus 4 close parentheses squared plus open parentheses y minus 6 close parentheses squared equals 81 open parentheses x minus 4 close parentheses squared plus open parentheses y plus 6 close parentheses squared equals 3

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Answer:

[tex](x+4)^2+(y-6)^2=81[/tex]

Step-by-step explanation:

We want to find equation of a circle with center (-4,6) and radius 9cm.

The equation of a circle with center (h,k) and radius [tex]r[/tex] units is given by;

[tex](x-h)^2+(y-k)^2=r^2[/tex]

We substitute the radius and the center to obtain;

[tex](x+4)^2+(y-6)^2=9^2[/tex]

The required equation is:

[tex](x+4)^2+(y-6)^2=81[/tex]

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