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P -6 1 and Q 6 6 are the two ends of the diamet... - JAMB Mathematics 2021 Question

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

correct option: a

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

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

PQ = √169 = 13

PQ = Diameter = 2 * Radius, r

r = PQ/2 = 6.5

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