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

(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

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

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

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

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