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P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given...

Mathematics
JAMB 2001

P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius.

  • A. 6.5 units
  • B. 13.0 units
  • C. 3.5 units
  • D. 7.0 units
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Correct Answer: Option A
Explanation

PQ\(^2\) = (x2 - x1)\(^2\)  + (y2 - y1)\(^2\) 

= 12\(^2\)  + 5\(^2\) 
= 144 + 25
= 169

PQ = √169 = 13

But PQ = diameter = 2r, r = PQ/2 = 6.5 units


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