What are the coordinates of the centre of the circle ?

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Always double-check the arithmetic when averaging the coordinates. A small mistake here will lead to incorrect answers for the radius and equation of the circle as well.

Updated On: Mar 16, 2026

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Question: 2

What is its radius ?

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Using the distance formula between the center and an endpoint is often simpler as the numbers might be smaller. However, calculating the full diameter length and halving it is a good way to verify your answer.

Updated On: Mar 16, 2026

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Question: 3

write the equation of the circle.

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A common mistake is forgetting to square the radius for the right-hand side of the equation. Remember the formula is (x-h)² + (y-k)² = r², not r.

Updated On: Mar 16, 2026

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Question: 4

Find the slope of the line passing through the points (3, 5) and (5, 9).

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Slope is often described as "rise over run". The "rise" is the change in y (Δ y), and the "run" is the change in x (Δ x). It doesn't matter which point you choose as (x₁, y₁) as long as you are consistent. (5-9)/(3-5) = (-4)/(-2) = 2, which gives the same result.

Updated On: Mar 16, 2026

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