Question

Which of the following is the equation of a circle with a radius of 2.5 and its center at (-4, 3)?

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2

The format for a circle is $(x-h) ^{2} +(y-k) ^{2} = r^{2}$.  We are given our center of (-4, 3) where h is -4 and k is 3.  The radius of 2.5 will be squared to finish it off.  Filling in our h and k accordingly gives us $(x-(-4)) ^{2} +(y-3) ^{2} =6.25$.  Clean that up a bit and we have $(x+4) ^{2} +(y-3) ^{2} =6.25$, choice D above.