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Circles

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The document discusses how to graph, recognize, and write the equation of a circle. It provides examples of circle equations with given centers and radii. It also gives exercises to write the equation of circles given their center and radius, find the center and radius of a circle from its equation, and graph circles on a coordinate plane.

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Aim: How do we graph, recognize, and write the equation of a circle? MB43 3/16/09 Lomas Do Now: Find the roots of y = x 2 + 3x - 7? HW: Read 525-526 Do 528 #11-23odd
Equation of a Circle: (x - h) 2 + (y - k) 2 = r 2 where the center is (h,k) and the radius is r 1) What is the center and the radius of this circle? (x - 7) 2 + (y + 2) 2 = 36 2) What is the equation of a circle with center (5,-4) and a radius 7? Aim: How do we graph, recognize, and write the equation of a circle? MB43 3/16/09 Lomas HW: Read 525-526 Do 528 #11-23odd
Graph the circle: (x + 3) 2 + y 2 = 16 Center: Radius: Aim: How do we graph, recognize, and write the equation of a circle? MB43 3/16/09 Lomas HW: Read 525-526 Do 528 #11-23odd
What is the equation of this circle? Center: Radius: Aim: How do we graph, recognize, and write the equation of a circle? MB43 3/16/09 Lomas HW: Read 525-526 Do 528 #11-23odd
Write the equation of each circle: Center (2, 0); r = 1 Center (0, 0); r = 2 Center (-4, 1); r = 5 F ind the center, radius, and graph the circle (x + 2) 2 + (y + 1) 2 = 9 Aim: How do we graph, recognize, and write the equation of a circle? MB43 3/16/09 Lomas HW: Read 525-526 Do 528 #11-23odd
Aim: How do we graph, recognize, and write the equation of a circle? MB43 3/16/09 Lomas HW: Read 525-526 Do 528 #11-23odd

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Circles

  • 1. Aim: How do we graph, recognize, and write the equation of a circle? MB43 3/16/09 Lomas Do Now: Find the roots of y = x 2 + 3x - 7? HW: Read 525-526 Do 528 #11-23odd
  • 2. Equation of a Circle: (x - h) 2 + (y - k) 2 = r 2 where the center is (h,k) and the radius is r 1) What is the center and the radius of this circle? (x - 7) 2 + (y + 2) 2 = 36 2) What is the equation of a circle with center (5,-4) and a radius 7? Aim: How do we graph, recognize, and write the equation of a circle? MB43 3/16/09 Lomas HW: Read 525-526 Do 528 #11-23odd
  • 3. Graph the circle: (x + 3) 2 + y 2 = 16 Center: Radius: Aim: How do we graph, recognize, and write the equation of a circle? MB43 3/16/09 Lomas HW: Read 525-526 Do 528 #11-23odd
  • 4. What is the equation of this circle? Center: Radius: Aim: How do we graph, recognize, and write the equation of a circle? MB43 3/16/09 Lomas HW: Read 525-526 Do 528 #11-23odd
  • 5. Write the equation of each circle: Center (2, 0); r = 1 Center (0, 0); r = 2 Center (-4, 1); r = 5 F ind the center, radius, and graph the circle (x + 2) 2 + (y + 1) 2 = 9 Aim: How do we graph, recognize, and write the equation of a circle? MB43 3/16/09 Lomas HW: Read 525-526 Do 528 #11-23odd
  • 6. Aim: How do we graph, recognize, and write the equation of a circle? MB43 3/16/09 Lomas HW: Read 525-526 Do 528 #11-23odd