The equation of circle having a diameter with endpoints (-2, 1) and (6, 7) is

Step-by-step explanation:

Since, the diameter of the circle having the end points (-2, 1) and (6, 7),

Thus, by the distance formula,

So, the radius of the circle = = 5 unit,

Let the equation of the circle is,

Where, (h, k) is the center of the circle,

Since, points (-2, 1) and (6, 7) are on the circle,

They must satisfy the equation of the circle,

By solving these equations,

We get,

h = 2, k = 4

Hence, the equation of the circle would be,

yes

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step-by-step explanation:

the answer is 13 cm