P(-6, 1) and Q(6, 6) are the two ends of the diameter of…
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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
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:
- Option A is correct.
- Option B is not correct.
- C is incorrect.
- D is not the correct answer.
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 /