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Which of the following is the standard equation of a circle with center (-1,-6) and radius 5?

User Joshb
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Answer:

(x + 1)^2 + (y + 6)^2 = 25.

Explanation:

  • The standard equation of a circle with center (h, k) and radius r is given by:

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

  • In this case, the center of the circle is (-1, -6) and the radius is 5. Substituting these values into the equation, we get:

(x - (-1))^2 + (y - (-6))^2 = 5^2

  • Simplifying and rearranging terms, we get:

(x + 1)^2 + (y + 6)^2 = 25

  • Therefore, the standard equation of the circle with center (-1, -6) and radius 5 is (x + 1)^2 + (y + 6)^2 = 25.

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