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2021

Mathematics

67ca00ce0c643c71d77dee1f

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 Answer: 6.5 units

Explanation

PQ2 = (x2 - x1)2 + (y2 - y1)2 = 122 + 52 = 144 + 25 = 169 PQ = √169 = 13 But PQ = diameter = 2r, r = PQ/2 = 6.5 units

PQ2 = (x2 - x1)2 + (y2 - y1)2 = 122 + 52 = 144 + 25 = 169 PQ = √169 = 13 But PQ = diameter = 2r, r = PQ/2 = 6.5 units
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