Question

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

Answer 1

Given:-

$\lparen12,9),d=12$

To find the equation of the circle.

So now we use the formula,

$\left(x-a\right)^2+\left(y-b\right)^2=r^2$

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

$\lparen x-12)^2+\left(y-9\right)^2=6^2$

So our required equation is,

$\operatorname{\lparen}x-12)^2+\left(y-9\right)^2=36$