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!)