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Circles in the Coordinate Plane
Lesson #124
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Circle: The locus of points equidistant from one point.
Find all of the points r distance away from the point (h, k). (h, k)
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Standard Form: (x – h)2 + (y – k)2 = r2
Center of the circle = Radius of the circle = Examples: 1. Write the equation of the circle with a center at (3, -2) and a radius of length 7.
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2. Given the circle: (x – 1)2 + (y – 5)2 = 36
a. What are the coordinates of the center of the circle? What is the length of the radius? Graph the circle. d. Give two points that are on the circle.
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3. Given the circle: x2 + y2 = 50 a. What are the coordinates of the center of the circle? b. What is the length of the radius?
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4. Given the circle: (x + 2)2 + y2 = 9
a. What are the coordinates of the center of the circle? What is the length of the radius? Graph the circle. d. Give two points that are on the circle.
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Find the center and radius of the circle whose equation is (x – 3)2 + (y – ½)2 = 18.
6. Write the equation of the circle with a center at (-3,4) and a radius of
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How can you graph this in the calculator?
(x – 1)2 + (y – 5)2 = 36
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