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What is the center and radius of the circle? (x-1)2 + (y-9)2=36

User Hyprsleepy
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Answer: To determine the center and radius of the circle given by the equation:

(x - 1)^2 + (y - 9)^2 = 36.

We can identify the center and radius using the standard form of the circle equation:

(x - h)^2 + (y - k)^2 = r^2,

where (h, k) represents the center of the circle, and r is the radius.

Comparing the given equation with the standard form, we can see that:

h = 1 (the x-coordinate of the center),

k = 9 (the y-coordinate of the center),

r^2 = 36 (from the right-hand side of the equation).

To find the radius (r), we simply take the square root of r^2:

r = √36 = 6.

So, the center of the circle is (1, 9), and the radius is 6 units.

User Abhishek Sachan
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