You are right. In circle equation we have =r² so the correct answer will be C od D. But we have to calculate the center of a circle.

Complete the square:

And we have:

So the answer is C (the same left side of equation).
I believe your answer is going to be -6 7/3. Reciprocals are the opposites of a number, so I switched the sign on the 6 and made it -. When dealing with fractions, the reciprocal is essentially just flipping the numerator and denominator, which is how I got 7/3.
I hope I helped. Best of luck!
Answer:
1/2 .Step-by-step explanation: on the number line, draw the number line and mark a point A to represent 1. Now, divide the gap between O and A into two equal parts