Download Today you will Write equations of circles when given three points on

Today you will
Write equations of circles
when given three points on the circle
and
find points of intersection between lines and circles.
Today you will need: a ruler, a compass, patty paper,
and graph paper
10.8 Day 2: Equations of Circles
Patty Paper Activity:
Write an equation of a circle that contains the 3 points:
A (1, 2) B (-3, 4) and C (-5, 0)
B
A
C
Three radio towers are modeled by the points
R(4, 5) S(8, 1) and T(-4, 1)
Determine the location of another tower equidistant from
all three towers, and write an equation for the circle.
R
T
S
Find the point(s) of intersection between
x 2 + y 2 = 8 and y = -x
*Use substitution to solve the system of equations:
y = -x
x2 + y 2 = 8
Find the point(s) of intersection between
(x - 1) 2 + y 2 = 4 and
y=x+1