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12-5 Circles in the Coordinate Plane

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Presentation on theme: "12-5 Circles in the Coordinate Plane"— Presentation transcript:

1 12-5 Circles in the Coordinate Plane

2 Theorem 12-13 An equation of a circle with center (h,k) and radius r is (x - h)2 + (y - k)2 = r2 “standard form”

3 Example #1 Write the equation (in standard form) of the circle with center at (4,-1) and radius 3. (x - h)2 + (y - k)2 = r2

4 Example #1 Write the equation (in standard form) of the circle with center at (4,-1) and radius 3. (x - 4)2 + (y - k)2 = r2

5 Example #1 Write the equation (in standard form) of the circle with center at (4,-1) and radius 3. (x - 4)2 + (y – (-1))2 = r2

6 Example #1 Write the equation (in standard form) of the circle with center at (4,-1) and radius 3. (x - 4)2 + (y – (-1))2 = 32

7 Example #1 Write the equation (in standard form) of the circle with center at (4,-1) and radius 3. (x - 4)2 + (y +1)2 = 32

8 Example #1 Write the equation (in standard form) of the circle with center at (4,-1) and radius 3. (x - 4)2 + (y +1)2 = 9

9 Example #2 Write the equation (in standard form) of the circle with center at (4,-1) and passes through the point (1, 3).

10 Example #2 Write the equation (in standard form) of the circle with center at (4,-1) and passes through the point (1, 3).

11 Example #2 Write the equation (in standard form) of the circle with center at (4,-1) and passes through the point (1, 3).

12 Example #2 Write the equation (in standard form) of the circle with center at (4,-1) and passes through the point (1, 3).

13 Example #2 Write the equation (in standard form) of the circle with center at (4,-1) and passes through the point (1, 3).

14 Example #2 Write the equation (in standard form) of the circle with center at (4,-1) and passes through the point (1, 3).

15 Example #2 Write the equation (in standard form) of the circle with center at (4,-1) and passes through the point (1, 3). (x-4)2 + (y+1)2 = 25

16 Today’s Assignment P. 697 #1-21 (do not graph!)


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