Circles T
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The document discusses how to graph, recognize, and write the equation of a circle. It provides the standard form of a circle equation (x - h)2 + (y - k)2 = r2 where (h,k) is the center and r is the radius. Several examples are worked through, including finding the center and radius of circles from their equations, writing the equation of a circle given its center and radius, and graphing a circle. Students are assigned homework problems related to these concepts.
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Circles T
- 1. Aim: How do we graph, recognize, and write the equation of a circle? MB43 10/20/08 Lomas Do Now: Find the roots of y = x 2 + 3x - 7? HW: Read 525-527 Do 528 #9-21odd
- 2. Aim: How do we graph, recognize, and write the equation of a circle? MB43 10/20/08 Lomas 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? HW: Read 525-527 Do 528 #9-21odd
- 3. Aim: How do we graph, recognize, and write the equation of a circle? MB43 10/20/08 Lomas Graph the circle: (x + 3) 2 + y 2 = 16 Center: Radius: HW: Read 525-527 Do 528 #9-21odd
- 4. Aim: How do we graph, recognize, and write the equation of a circle? MB43 10/20/08 Lomas What is the equation of this circle? Center: Radius: HW: Read 525-527 Do 528 #9-21odd
- 5. Aim: How do we graph, recognize, and write the equation of a circle? MB43 10/20/08 Lomas Write the equation of each circle: Center (2, 0); r = 1 Center (0, 0); r = 2 Center (-4, 1); r = 5 Find the center, radius, and graph the circle (x + 2) 2 + (y + 1) 2 = 9 HW: Read 525-527 Do 528 #9-21odd