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12-5 Circles in the Coordinate Plane. Theorem 12-13 An equation of a circle with center (h,k) and radius r is (x - h) 2 + (y - k) 2 = r 2 standard form.

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Presentation on theme: "12-5 Circles in the Coordinate Plane. Theorem 12-13 An equation of a circle with center (h,k) and radius r is (x - h) 2 + (y - k) 2 = r 2 standard form."— Presentation transcript:

1 12-5 Circles in the Coordinate Plane

2 Theorem An equation of a circle with center (h,k) and radius r is (x - h) 2 + (y - k) 2 = r 2 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 = r 2

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 = r 2

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 = r 2

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 = 3 2

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 = 3 2

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 Todays Assignment P. 697 #1-21 (do not graph!)


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