A circle in the xy-plane has equation . What are the coordinates of its center and its radius?
Answer and explanation
Correct answer: B. Center , radius
- Step 1: The standard form of a circle is .
- Step 2: Here , , and .
- Step 3: The center is and the radius is 5.
Answer
Center (3, -2), radius 5.
Why not the others: 'Center , radius ' reverses the coordinate signs; 'Center , radius ' fails to take the square root of ; 'Center , radius ' combines both errors.
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