# What is the equation of the circle with a center at #(-1 ,-3 )# and a radius of #7 #?

Given radius r and center (h, k),

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The equation of a circle with center coordinates (h, k) and radius r is given by the formula:

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

Substituting the given center coordinates (-1, -3) and radius 7 into the formula, we get:

(x - (-1))^2 + (y - (-3))^2 = 7^2

Simplifying:

(x + 1)^2 + (y + 3)^2 = 49

So, the equation of the circle is (x + 1)^2 + (y + 3)^2 = 49.

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