Answer:
(x +2)² +(y +2)² = 169
Explanation:
You want the equation of a circle centered at (-2, -2) containing point (-7, -14).
Circle
The equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
Using the given center, this is ...
(x +2)² +(y +2)² = r²
Point
We can find the value of r² by substituting the given point for (x, y):
(-7 +2)² +(-14 +2)² = r²
(-5)² +(-12)² = 25 +144 = 169 = r²
The equation of the circle is ...
(x +2)² +(y +2)² = 169
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