Comprehension

A circle is drawn with the line joining the points (4, 3) and (8, 5) as diameter.

Question: 1

What are the coordinates of the centre of the circle ?

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Remember that the center is always the midpoint of any diameter. The midpoint formula is simply the average of the x-coordinates and the average of the y-coordinates.

Updated On: Mar 16, 2026

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Solution and Explanation

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Question: 2

If (5, 2) is a point on one end of another diameter, what are the coordinates of the other end of that diameter ?

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To find the other endpoint of a diameter when you have one endpoint and the center, simply think: "How did I get from the endpoint to the center, and then do the same step again?". To get from x=5 to x=6, we add 1. Add 1 again to 6 to get 7. To get from y=2 to y=4, we add 2. Add 2 again to 4 to get 6. The other end is (7, 6). This mental math is very fast.

Updated On: Mar 16, 2026

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