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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

QUICK ANSWER…

A

DETAILS…

If P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle, then the radius will be = 6.5 units.

Recall that radius = half of the diameter.

This means we would have to:

• Firstly, calculate the diameter by finding the distance between the two points P(-6, 1) and Q(6, 6).
• And then secondly, divide the answer gotten by 2 to obtain the radius.

If two points are given as P(x₁, y₁) and Q(x₂, y₂), then the formula to calculate the distance between them is given as:

Now for the right answer to the above question:

1. Option A is correct.
2. Option B is not correct.
3. C is incorrect.
4. D is not the correct answer.

KEY-POINTS…

You may please note these/this:

• Radius = diameter/2
• The distance between the two points P(x₁, y₁) and Q(x₂, y₂) can be calculated using EQ1.

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/ culled from 2021 JAMB-UTME MATHEMATICS question 16 /