Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

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]