Equation of a Circle Worksheet
Practice identifying, writing, and graphing the equation of a circle in standard form.
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Equation of a Circle
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
For each equation, identify the center (h, k) and the radius (r) of the circle.
1. (x - 3)² + (y + 2)² = 25
Center: Radius:
2. x² + y² = 49
Center: Radius:
3. (x + 1)² + (y - 5)² = 100
Center: Radius:
Write the standard equation of a circle given the following information.
1. Center at (0, 0) and radius of 6.
2. Center at (4, -1) and radius of 3.
3. Center at (-2, -7) and diameter of 10.
1. Which of the following equations represents a circle with center (2, -3) and radius 5?
(x + 2)² + (y - 3)² = 25
(x - 2)² + (y + 3)² = 25
(x - 2)² + (y + 3)² = 5
(x + 2)² + (y - 3)² = 5
2. What is the radius of the circle with the equation (x - 0)² + (y - 0)² = 81?
9
81
3
6
Graph the following circles on the coordinate plane.
1. (x - 1)² + (y + 3)² = 16
2. x² + y² = 9