Answer:
[tex](x + 3)^2 + (y- 2)^2 = 4[/tex]
Step-by-step explanation:
A circle which has center at point(a,b) on coordinate plane and its radius is r, then its equation is represented by
(x-a)^2 + (y-b)^2 = r^2
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In the problem
we have
center as (-3,2) while radius is 2 units.
Thus, it equation can be written based on above discussion as
a = -3, b = 2 r =2
[tex](x-a)^2 + (y-b)^2 = r^2 \\(x-(-3))^2 + (y- 2)^2 = 2^2\\(x + 3)^2 + (y- 2)^2 = 4[/tex]
thus, correct choice is option third.
