Transcript Notes 9.3 (Day 1) - Math with Mr. Gillam

Notes 9.3 (Day 2)
Graph and Write Equations of Circles
Write the standard form of the
equation of the circle with the given
radius and whose center is the origin.
r = 10
r=4
Write the equation of a circle given a
center point and a point on the circle.
Step 1: Find the distance between the center point and the
given point. (use the distance formula)
Step 2: Insert the centerpoint and radius length into the given
equation
Step 3: Simplify
Write the standard form of the equation of the circle that
passes through the given point and whose center is the
origin.
Write the standard form of the equation of the circle that
passes through the given point and whose center is the
origin.
Write the standard form of the equation of the circle that
passes through the given point and whose center is the
origin.
Tangent Line:
-Crosses a circle at exactly one point
-Is perpendicular to a radius at that point
Write the equation of a line tangent to
a circle at the given point.
Step 1: Find the slope of the segment connecting the center
point and given point of the circle.
Step 2: Take the opposite reciprocal of the slope (perp. Lines
have opp. Reciprocal slopes)
Step 3: Plug in the point and slope into the equation of a line
Step 4: Solve for the (b) value.
Step 5: write the equation of the line.
Write the equation of a line tangent to
the circle at the given point.
Write the equation of a line tangent to
the circle at the given point.
Write the equation of a line tangent to
the circle at the given point.
Homework:
P 629 22-29, 31-42, 53-58