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