A circle is centered at (-3, 2) and has a radius of 2. Which of the following is the equation for this circle? (x + 3) 2 + (y - 2) 2 = 2 (x - 3) 2 + (y + 2) 2 = 4 (x + 3) 2 + (y - 2) 2 = 4 (x - 3) 2 + (y + 2) 2 = 2

Question

Lilian Young

Mathematics

11 October, 08:31

A circle is centered at (-3, 2) and has a radius of 2. Which of the following is the equation for this circle? (x + 3) 2 + (y - 2) 2 = 2 (x - 3) 2 + (y + 2) 2 = 4 (x + 3) 2 + (y - 2) 2 = 4 (x - 3) 2 + (y + 2) 2 = 2

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Chace · Answer 1

The standard equation of the circle is:

(x-h) ^2 + (y-k) ^2=r^2, where (h, k) is the center of the circle and r^2 is the radius squared ...

In this case the radius is 2 and (h, k) is (-3,2) so

(x+3) ^2 + (y-2) ^2=4