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Find the equation of a circle having as diameter the line segment from (-1, 1) to (3, 4).
Solution:
To illustrate the problem, it is better to draw the figure as follows
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| Photo by Math Principles in Everyday Life |
The first thing that we need to do is to get the center of a circle by using the midpoint formula of the two points as follows
Hence, the center of a circle is C (1, 5/2).
Next, get the radius of a circle by using the distance formula of two points as follows
Therefore, the equation of a circle is
