1. Precalculus Section 6.2 Apply the equations of circles
A conic section is formed by the intersection of a double naped cone and a plane

2. (x-h)2 + (y-k)2 = r2 Geometric Definition of a circle:
A circle is the set of all points in a plane that are equidistant from a fixed point called the center.
The distance r between the points (x,y) and (h,k) is given by the formula:
r = √(x-h)2 + (y-k)2
or r2 = (x-h)2 + (y-k)2
Equation of a circle whose center is the point (h,k) and its radius is r:
(x-h)2 + (y-k)2 = r2

3. Find the center and radius of the circle whose equation is:
(x-5)2 + (y+2)2 = 16
x2 + y2 = 9

4. Find the center and radius of the circle whose equation is:
x2 + y2 – 6x + 4y – 12 = 0

5. example Find the coordinates of the points where the line
y = 2x – 2 and the circle x2 + y2 = 25 intersect.
Confirm your solution graphically.

6. Assignment
Page 222
Problems 2-18 even,28,30,32,34,35
12 e.c.