SAT Math Multiple Choice Question 187: Answer and Explanation
7. Is the point (-2, -2) located inside, on, or outside the circle with equation (x + 3)2 + (y - 1)2 = 9 ?
- A. Inside the circle
- B. On the circle
- C. Outside the circle
- D. It cannot be determined from the given information.
Correct Answer: C
C Since x and y are points on the circle, plug in the point (-2, -2) into the left side of the equation. This gives you (-2 + 3)2 + (-2 - 1)2, which equals 12 + (-3)2. Simplifying, you get 10. Because 10 is greater than r2 (which is 9), the point must be outside the circle, which is (C).