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  1. Use the information provided to write the equation of each circle. 9) Center: (13 , −13) Radius: 4 10) Center: (−13 , −16) Point on Circle: (−10 , −16) 11) Ends of a diameter: (18 , −13) and (4, −3) 12) Center: (10 , −14) Tangent to x = 13 13) Center lies in the first quadrant Tangent to x = 8, y = 3, and x = 14 14) Center: (0, 13)

  2. Use the information provided to write the standard form equation of each circle. 1) 8 x + x2 − 2y = 64 − y2 2) 137 + 6y = −y2 − x2 − 24 x 3) x2 + y2 + 14 x − 12 y + 4 = 0 4) y2 + 2x + x2 = 24 y − 120 5) x2 + 2x + y2 = 55 + 10 y 6) 8x + 32 y + y2 = −263 − x2 7) Center: (−11 , −8) Radius: 4 8) Center: (−6, −15) Radius: 5

  3. Use the information provided to write the equation of each circle. 2) Center: (-4, 0) Radius: 4 (x + 4) 2 + y2 = 16 3) Center: (14, -6) Radius: 2 (x - 14) 2 + (y + 6) 2 = 2 4) Center: (11, 0) Point on Circle: (11, 1) (x - 11) 2 + y2 = 1 5) Three points on the circle: (-11, -4), (2, -7), and (-8, 9) (x + 3) 2 + (y - 1) 2 = 89 Identify the center ...

  4. The standard equation of a circle with center (h, k) and radius = r is Match each graph with its equation. Give the radius and coordinates of the center of the circle with the given equation.

  5. Use the information provided to write the standard form equation of each circle. 1) Center: (-11, -8) Radius: 2 (x + 11) 2 + (y + 8) 2 = 4 2) Center: (10, -4) Radius: 5 (x - 10) 2 + (y + 4) 2 = 25 3) Center: (-2, -13) Radius: 2 (x + 2) 2 + (y + 13) 2 = 4 4) Center: (-12, 12) Radius: 3 (x + 12) 2 + (y - 12) 2 = 9 5) Center: (0, 0) Radius: 2 x2 ...

  6. Equations of Circles Date_____ Period____ ... Use the information provided to write the equation of each circle. 9) Center: (13 , −13) Radius: 4 10) Center ... dCz. g b tA yl cl F Yrei9gsh xtbs7 BrXeDsHeIr lv peYdQ. 2 K HMTa2dJe Y 7w Xit9hT PIwn7fAiNnEiUtBez mGDe2oEmVeQtXrZy F.F Worksheet by Kuta Software LLC 7) 9 = 2 y − y2 − 6x − x2 x y

  7. Equations of circles worksheets will help students understand its relevance with real-life applications. Examples include camera lenses, pizzas, tires, Ferris wheels, rings, steering wheels, cakes, pies, buttons and a satellite's orbit around the Earth.

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