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Circle Worksheet #6
The two circles pictured at left are externally
tangent at point C. Their radii are 12 cm and 6 cm
and AB is a tangent segment.
M
P
C
O
D
B
1.
2.
3.
4.
5.
A
Find AB = ______
What is the measure of ACB ? Why ?
If CM is an internal tangent line, find the
length of CM = ______
BD = _____
How far is D from circle O?
The two circles pictured at right have radii of
28 cm and 4 cm. The distance between the two
circles is 8 cm. Find the following:
6.
7.
8.
9.
What is the length of the common external
tangent segment AB ? ________
What is the length of the common internal
tangent segment CD ? ________
The segment joining the centers of the
circles separates CD into a ratio of __ : __.
Find the length of each part of CD.
CE = ______ and DE = _______
Q
C
B
E
D
P
A
Questions 1012 refer to the following information.
Circle O has equation ( x2 ) 2 + y 2 = 4 and
Circle P has equation ( x5 ) 2 + y 2 = 1. A line in
the first quadrant is tangent to both circles.
10.
What is the center and radius of each circle ?
(Sketch the graph of both circles.)
11.
What is the X intercept of the tangent line ?
12.
What is the Y intercept of the tangent line ?
13.
How long is the common tangent segment ?
Geometry Honors
Circle Worksheet #6
Livingston High School
Mathematics Department
O
C
P
Mr. Lamb, Mr. Memory
The two circles P and Q are pictured at left. They
are externally tangent at point D. Circle Q has a
radius of 4cm and CD = 8.
P
D
Q
B
C
A
14.
15.
16.
17.
18.
19.
A circle is separated into a major and minor
arc by a chord of length 30 cm. If the
midpoint of the minor arc is 5 cm from the
chord, how far is the midpoint of the major
arc from the chord ? _______ What is the
radius of the circle ? ______
20.
If a chord of length 8 cm is 7 cm from the
center of a circle, then how long is a chord
that is only 1 cm from the center of the
circle? ________
21.
A right triangle has vertices at (0,0) , (0,12)
and (16,0). What is the equation of the
circle that can be inscribed in the triangle ?
Find AB = ______
Find AP = _______
m AD + m BD = _____ 
PC = _____
m  ADB = _______
What is the equation of the circle that can be
circumscribed around the triangle?
22.
(0,12)
(-16,0)
(0,0)
If a point is 10 cm from a circle whose
radius is 5 cm, how long is the tangent
segment from that point to the circle?
Geometry Honors
Circle Worksheet #6
Livingston High School
Mathematics Department
Mr. Lamb, Mr. Memory