Given center C and a point P on a circle, find its equation. C(-2, 7) and P(1, 11)

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  (x +2)² +(y -7)² = 25

Step-by-step explanation:

The length of the radius can be found from the distance formula.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((1-(-2))² +(11 -7)²) = √(3² +4²) = √25

The standard form equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Here, we have (h, k) = (-2, 7) and r = √25, so r² = 25. The circle's equation is ...

  (x +2)² +(y -7)² = 25

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step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.