EXERCISES
19.6
In
Figure 19.30, solve for
F
IGURE
19.30
19.7
The
circle in Figure 19.31 is inscribed in a scalene triangle. Solve for
F
IGURE
19.31
19.8
In
Figure 19.32, lines
l
and
m
are tangent to both circles.
Determine the size of angles
A
,
B
,
C
,
D,
and
E
.
F
IGURE
19.32
19.9
In
Figure 19.33, segments
AP
,
BQ
, and
AB
are tangent to the circle, and
. Solve for
Y
when segment
AP
measures 6 inches.
F
IGURE
19.33
19.10
In
Figure 19.34, segments
AP
and
AQ
are tangent to the circle. Solve
for
∠
= 140.
F
IGURE
19.34
19.11
In
Figure 19.35, the circle is inscribed in quadrilateral
ABCD
. Solve for the length of segment
AB
when
BC
=
11 cm,
CD
=
5.5 cm,
CN
=
2 cm, and
AD
=
9.5 cm.
FIGURE 19.35
19.12
In
Figure 19.36, the quadrilateral has two points of tangency to the circle. Solve
for
∠
.
FIGURE 19.36
19.13
In
Figure 19.37, lines
l
and
m
are tangent to both circles. D
etermine the distance
X
. The given dimension is in
inches.
FIGURE 19.37
19.14
In
Figure 19.38, the polygon is tangent to the circle at the three points shown.
Determine the
.
FIGURE 19.38
19.15
In
Figure 19.39, solve for
.
FIGURE 19.39
19.16
In
Figure 19.40, find the diameter of an inscribed circle in a right triangle with
sides 8.6 inches and 10.2 inches long.
FIGURE 19.40
19.17
In
Figure 19.41, solve for
of the triangle inscribed in the circle.
FIGURE 19.41
19.18
In
Figure 19.42, solve for diameter
D
in
the circle inscribed in the right triangle. Dimensions are in meters.
FIGURE 19.42
19.19
In
Figure 19.43, solve for dimension
X
.
Dimensions are in inches.
FIGURE 19.43
19.20
In
Figure 19.44, solve for dimension
A
in
the regular hexagon. Dimensions are in millimeters.
FIGURE 19.44
19.21
In Figure 19.45,
solve for dimension
X
, a chord of the circle, and
Y
, the circle’s
diameter. Dimensions are in centimeters.
FIGURE 19.45
19.22
In
Figure 19.46, solve for the length of the other two sides of the right isosceles
triangle circumscribed around the circle. Dimensions are in
inches.
FIGURE 19.46
19.23
In
Figure 19.47, solve for
and
in the inscribed quadrilateral.
FIGURE 19.47
19.24
In
Figure 19.48, solve for
.
FIGURE 19.48
19.25
In
Figure 19.49, solve for dimensions
X
and
Y
. Dimensions are in inches.
FIGURE 19.49
19.26
In
Figure 19.50, solve for
and 
.
FIGURE 19.50
19.27
In
Figure 19.51, solve for angles
,
â
and
. The small cir
cles are not equally spaced on
hole circle nor are they symmetrically located (top half to bottom half).
FIGURE 19.51
19.28
In
Figure 19.52, a sector of a circle is shown in which
bisects
. Determine the radius of the
circle. Dimensions are in inches.
FIGURE 19.52
19.29
Solve
for
X
in Figure 19.53. Dimensions are
in millimeters.
FIGURE 19.53
19.30
In
Figure 19.54, solve for the distance across the flats. The figure represents a
regular hexagon inscribed in a circle. Dimensions are in inches.
FIGURE 19.54
19.31
Determine
the diameter of the circle circumscribed around the hexagon in Figure 19.55.
Dimensions are in centimeters.
FIGURE 19.55
19.32
In
Figure 19.56, determine the diameter. Dimensions are in inches.
FIGURE 19.56
19.33
Determine
∠á
in Figure 19.57. The triangle is
inscribed in the circle as shown.
FIGURE 19.57
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