Geometry and TrigonometryHardWhich point is inside a given circle
Geometry and Trigonometry practice question
A circle in the xy-plane has centre (1, −2) and radius 5. Which of the following points lies INSIDE the circle?
- A. (4, 1)Correct
- B. (6, −2)
- C. (1, 4)
- D. (−3, −5)
Answer: A. (4, 1)
(4, 1) is √(9 + 9) = √18 ≈ 4.2 from the centre, less than 5: inside.
Why the other answers are wrong
- B. (6, −2)
- (6, −2) is exactly 5 from the centre — ON the circle.
- C. (1, 4)
- (1, 4) is 6 from the centre — outside.
- D. (−3, −5)
- (−3, −5) is √(16 + 9) = 5 — on the circle.
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