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Find the equation of a circle with the center at (- 7, 1) and a radius of 11.Question 9Select one:a.(x - 7)2 + (y +1)2 = 121b.(x + 11)2 + (y - 1)2 = 7c.(x + 7)2 + (y - 1)2 = 121d.(x + 7)2 + (y - 1)2 = 11

Question

Find the equation of a circle with the center at (- 7, 1) and a radius of 11.Question 9Select one:a.(x - 7)2 + (y +1)2 = 121b.(x + 11)2 + (y - 1)2 = 7c.(x + 7)2 + (y - 1)2 = 121d.(x + 7)2 + (y - 1)2 = 11

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Solution

The equation of a circle is given by (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.

Given that the center is (-7, 1) and the radius is 11, we substitute these values into the equation to get:

(x - (-7))² + (y - 1)² = 11²

Simplifying this gives:

(x + 7)² + (y - 1)² = 121

So, the correct answer is c. (x + 7)² + (y - 1)² = 121.

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