Question

A circle is centered at (11, 9) and has a radius of 12. What is the equation of the circle? Enter the equation using lowercase variables x and y in the box.​

Answer 1

Explanation:

The equation of a circle with center (a, b) and radius r is:

(x - a)^2 + (y - b)^2 = r^2

Substituting the given values, we get:

(x - 11)^2 + (y - 9)^2 = 12^2

Expanding the square terms, we get:

(x^2 - 22x + 121) + (y^2 - 18y + 81) = 144

Simplifying the equation, we get:

x^2 - 22x + y^2 - 18y = -98

Therefore, the equation of the circle is:

x^2 - 22x + y^2 - 18y = -98.