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Equations of Circles

Equations of Circles. Equation of a Circle. The center of a circle is given by (h, k) The radius of a circle is given by r The equation of a circle in standard form is (x – h) 2 + (y – k) 2 = r 2. Finding the Equation of a Circle. Circle A The center is (16, 10)

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Equations of Circles

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  1. Equations of Circles

  2. Equation of a Circle The center of a circle is given by (h, k) The radius of a circle is given by r The equation of a circle in standard form is (x – h)2 + (y – k)2 = r2

  3. Finding the Equation of a Circle Circle A The center is (16, 10) The radius is 10 The equation is (x – 16)2 + (y – 10)2 = 100

  4. Finding the Equation of a Circle Circle B The center is (4, 20) The radius is 10 The equation is (x – 4)2 + (y – 20)2 = 100

  5. Finding the Equation of a Circle Circle O The center is (0, 0) The radius is 12 The equation is x 2 + y 2 = 144

  6. Graphing Circles (x – 3)2 + (y – 2)2 = 9 Center (3, 2) Radius of 3

  7. Graphing Circles (x + 4)2 + (y – 1)2 = 25 Center (-4, 1) Radius of 5

  8. Graphing Circles (x – 5)2 + y2 = 36 Center (5, 0) Radius of 6

  9. Writing Equations of Circles Write the standard equation of the circle: Center (4, 7) Radius of 5 (x – 4)2 + (y – 7)2 = 25

  10. Writing Equations of Circles Write the standard equation of the circle: Center (-3, 8) Radius of 6.2 (x + 3)2 + (y – 8)2 = 38.44

  11. Writing Equations of Circles Write the standard equation of the circle: Center (2, -9) Radius of (x – 2)2 + (y + 9)2 = 11

  12. Writing Equations of Circles Write the standard equation of the circle: Center (0, 6) Radius of x 2 + (y – 6)2 = 7

  13. Writing Equations of Circles Write the standard equation of the circle: Center (-1.9, 8.7) Radius of 3 (x + 1.9)2 + (y – 8.7)2 = 9

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