Aim #52: How do we analyze the equations of circles?
HW Due Friday 2/3
Quiz (Aims 52-54) Friday 2/3
Do Now:
Determine the center and radius of the following
circle.
Standard Equation of a Circle
Center: (h, k)
Radius: r
Write the equation of a circle whose center is
( 3, -5 ) and radius = 8.
center:
radius:
x -intercepts:
y -intercepts:
Graph the following circle:
2
2
(x ­ 5) + (y + 3) = 4
center:
radius:
Domain:
Range:
What is the general form of a circle?
Let's try and eliminate the parenthesis in the standard
form of the following circle:
General Equation
State the center and radius
Find the standard equation of a circle whose center is (2,5 )
and contains the point ( 5, -2 ).
Write the equation of a circle whose center is at (2, 3) and
passes through the point (-1, -1).
Write the equation of a circle whose diameter has endpoints (-2, 1)
and (6, 7)
Find the center and radius of the following circle:
Re- write this circle in center- radius form
x2 + 2x + y2 - 6y + 6 = 0