Geometry Worksheet
Circles - Equation of a Circle
Circles in the Coordinate Plane
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Equation of a Circle - Circles in the Coordinate Plane |
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This worksheet contains problems on circles in the coordinate plane. Students are asked to find standard equation of a circle, to graph circles based on a given equation,
and to write the standard equation of a circle from a graph. |
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Sample Problems from Worksheet (diagrams not shown) |
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1) Write the standard equation for the circle.
center (3, 2); r = 6
4) Write the standard equation for the circle with the given center that passes
through the given point. center (− 2, 5); point (1, 9)
5) Find the center and radius of the circle with the given equation.
(x - 2)2 + (y + 8)2 = 81
7) A low-watt radio station can be heard only within a certain distance from the
station. On the graph below, the circular region represents that part of the city
where the station can be heard, and the center of the circle represents the location
of the station. Which equation represents the boundary for the region where the
station can be heard?
8) Write the standard equation of the circle in the graph.
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