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Example 12: Find the Position of a Point

Explore how to write a C program that determines the position of a point relative to a circle by calculating distances using coordinates. Understand decision-making logic to output whether a point lies inside, on, or outside the circle, enhancing your practical skills in C programming.

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Problem

Given the coordinates (x, y) of the centre of a circle and its radius, write a program that will determine whether a point lies inside the circle, on the circle, or outside the circle.

The following formulae will help you in the required calculations:

XDifference=centerXpointXX_{Difference}=center_{X}-point_{X} ...