1. Conics Circle

2. Circles

3. Circle Circle-The set of all points in a plane at a distance r from a given point called the center. The distance r is the radius of the circle

4. Circles Circle with center (0,0) Standard Form: x²+y²=r² Circle with center (h,k) Standard Form: (x-h)²+(y-k)²=r²

5. E1 A tree in your garden has a ring of flowers. Each flower is four feet from the center of the tree trunk. You draw a coordinate grid to model your yard. The tree trunk is located at (-4,3). Write an equation that models the ring of flowers.

6. E1 Answer Center: (-4,3)  (h,k) h= -4 k= 3 Radius: r=4 (x-h)²+(y-k)²=r² (x-(-4))²+(y-(3))²=r² (x+4)²+(y-3)²=r²

7. E2 Find the center and the radius of the circle then draw the graph (x-3)²+(y+2)²=16

8. E2 Answer (x-3)²+(y+2)²=16 Center: (3,-2) Radius: r=4

9. E3 Write the equation in standard form then state the center and radius x²+y²+8x-10=-16 (x²+8x+16)+(y²-10y+25)=-16+16+25

10. E3 Answer x²+y²+8x-10=-16 (x²+8x+16)+(y²-10y+25)=-16+16+25 (x+4) ²+(y-5) ²=25 Center: (-4,5) Radius: r=25

11. E4 Write the equation in standard form, then state the center and radius x²+y²-6y+3=0

12. E4 Answer x²+y²-6y+3=0 x²+(y²-6y+9)=-3+9 x²+(y-3) ²=6 Center: (0,-3) Radius: r= √ 6