If a circle is drawn through A, B and D, then what is the diameter of the circle ?
For the next two (02) items that follow : Consider the points A(0, 2), B(2, 3), C(4, 5) and D(0, k).
- A. 3\sqrt{10}
- B. 5\sqrt{10} ✓
- C. 3\sqrt{12}
- D. 5\sqrt{12}
Correct Answer: B. 5\sqrt{10}
Explanation
Using the circle equation from the points, the center is (-5/2, 19/2). The radius is the distance from the center to A(0,2), which computes to \( \frac{5\sqrt{10}}{2} \). Thus, the diameter is \( 5\sqrt{10} \).
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