Circles in Coordinate Planes
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Core Concepts
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Standard Equation of a Circle
Let (x, y) represent any point on a circle with center (h, k) and pili,l!S f.
By the Pythagorean Theorem (Theorem 9 .1 ),
X
This is the standard equation of a circle with center (h, k) and radius r.
Extra Practice
In Exercises 1-4, write the standard equation of the circle.
a circle with center (-3, -5) and,tadfos(lj
In Exercises 5 and 6, use the given information to write the standard equation of the circle.
6.
The centeN is (4,
circle is (0, 8)
Circles in Coordinate Planes
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