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,