Mrs. Baird-Conklin
Cantwell Sacred Heart of Mary HS
2013-2014
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
Slide 1
Circle A
The center is (16, 10)
The radius is 10
The equation is
(x – 16)2 + (y – 10)2 = 100
Slide2
Circle B
The center is (4, 20)
The radius is 10
The equation is
(x – 4)2 + (y – 20)2 = 100
Slide 3
Circle O
The center is (0, 0)
The radius is 12
The equation is
x 2 + y 2 = 144
Slide 4
(x – 3)2 + (y – 2)2 = 9
Center (3, 2)
Radius of 3
Slide 5
(x + 4)2 + (y – 1)2 = 25
Center (-4, 1)
Radius of 5
Slide 6
(x – 5)2 + y2 = 36
Center (5, 0)
Radius of 6
Slide 7
Write the standard equation of the circle:
Center (4, 7) Radius of 5
(x – 4)2 + (y – 7)2 = 25
Slide 8
Write the standard equation of the circle:
Center (-3, 8) Radius of 6.2
(x + 3)2 + (y – 8)2 = 38.44
Slide 9
Write the standard equation of the circle:
Center (2, -9) Radius of
(x – 2)2 + (y + 9)2 = 11
11
Slide 10
Write the standard equation of the circle:
Center (0, 6) Radius of
x 2 + (y – 6)2 = 7
7
Slide 11
Write the standard equation of the circle:
Center (-1.9, 8.7) Radius of 3
(x + 1.9)2 + (y – 8.7)2 = 9
Slide 12
Equations of circles   power point

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Equations of circles power point

  • 1. Mrs. Baird-Conklin Cantwell Sacred Heart of Mary HS 2013-2014
  • 2. 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 Slide 1
  • 3. Circle A The center is (16, 10) The radius is 10 The equation is (x – 16)2 + (y – 10)2 = 100 Slide2
  • 4. Circle B The center is (4, 20) The radius is 10 The equation is (x – 4)2 + (y – 20)2 = 100 Slide 3
  • 5. Circle O The center is (0, 0) The radius is 12 The equation is x 2 + y 2 = 144 Slide 4
  • 6. (x – 3)2 + (y – 2)2 = 9 Center (3, 2) Radius of 3 Slide 5
  • 7. (x + 4)2 + (y – 1)2 = 25 Center (-4, 1) Radius of 5 Slide 6
  • 8. (x – 5)2 + y2 = 36 Center (5, 0) Radius of 6 Slide 7
  • 9. Write the standard equation of the circle: Center (4, 7) Radius of 5 (x – 4)2 + (y – 7)2 = 25 Slide 8
  • 10. Write the standard equation of the circle: Center (-3, 8) Radius of 6.2 (x + 3)2 + (y – 8)2 = 38.44 Slide 9
  • 11. Write the standard equation of the circle: Center (2, -9) Radius of (x – 2)2 + (y + 9)2 = 11 11 Slide 10
  • 12. Write the standard equation of the circle: Center (0, 6) Radius of x 2 + (y – 6)2 = 7 7 Slide 11
  • 13. Write the standard equation of the circle: Center (-1.9, 8.7) Radius of 3 (x + 1.9)2 + (y – 8.7)2 = 9 Slide 12