PEM Level C
28 November 2009
Topics in Geometry  Chords, Tangents and Intersecting Circles
Examples:
1. In a circle, chord
AB
is bisected at
E
by chord
CD
. If
CE
= 16 and
ED
= 4, ﬁnd the length
of chord
AB
.
2. An arch is built in the form of an arc of a circle and is subtended by a chord 30 feet long. If
a chord 17 feet long subtends half the arc, what is the radius of the circle?
3. Let
AB
be the diameter of a semicircle of radius 2. Let
C
and
D
be two points on the
semicircle such that
AD
=
DC
= 1. Find
BC
.
4. Three circles, centered at
A
,
B
and
C
, respectively, are externally tangent to each other.
Find the radii of the circles if
AB
= 7,
AC
= 5 and
BC
= 9.
5. Two tangents to a circle are at right angle with each other. There is a point on the shorter
arc of the circle between the two points of tangency that is 4.5 cm away from one tangent
and 4 cm away from the other. Find the radius of the circle.
6. Two circles
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This note was uploaded on 11/15/2010 for the course MATH 100 taught by Professor B during the Spring '09 term at Ateneo de Manila University.
 Spring '09
 B
 Chords

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