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Answer the following
questions dealing with
the Segments in Circles.
(Do not assume that diagrams are drawn to scale.)
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| 1. |
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Given: circle with two chords
as marked
Find x. |
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Choose:
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2. |
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Given: circle with diameter
perpendicular to chord
Find x. |
Choose:
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3. |
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Given: circle with two secants
Find x. |
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Choose:
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4. |
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Given: circle with two secants
Find x. |
Choose:
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5. |
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Given: circle with two secants Find x.
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Choose:
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6. |
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Given: circle with tangent and secant
Find x.
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Choose:
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7. |
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Given: circle with two chords
as marked
Find x. |
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Choose:
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| 8. |
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Given: circle with tangent and secant
Find x. |
Choose:
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9. |
Hint: Find y first. |
Given: circle with tangent, secant and
chord
Find x. |
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Choose:
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10. |
Hint: Find y first. |
Given: circle with two tangents and a
secant
Find x. |
Choose:
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11. |
Diagram not to scale. |
Given: circle with secants and chords
such that
LM = 7
MN = 8
TN = 10
PR = 3
RM = 6
LT = 11
Find: PT, PN, LR,
RT |
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Answer
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12. |
In a circle, diameter
 is
extended through B
to an external point P.
Tangent
 is
drawn to point C
on the circle. If the radius of the circle is
15, and BP
=
2, find
PC.
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Answer
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13. |
In circle O,
diameter
 is
perpendicular to chord
 at
E. If
CD =
20,
BE
=
2
and AE
= 4x - 2,
find the length of the diameter.
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Answer
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15. |
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On a dare, Ellen
attempts to throw darts while wearing a blindfold.
She throws four darts. Three of the darts land
on the farthest outer edge of the circular dartboard
and the fourth dart sticks in the wall. When
measured, it is found that darts labeled D,
A and R are collinear, TR = 8
inches, AR = 4 inches and that TR is
tangent to the dartboard at T. How many
inches are between dart D and dart A? |
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Answer
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16. |
| Mrs. Smith wants to
purchase a cover for their new circular
pool. She needs to know the radius of the
pool, but she does not want to get wet to take the
measurements. She is standing 4 feet from the
pool and 12 feet from the point of tangency.
Find the radius of the pool. |
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Answer
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and
are tangent to the indicated circle. From his
pasture gate, a horse sees the barn and the farm pond.
The angle formed between his line of sight of the barn
and his line of sight of the pond is 30 degrees.
How many degrees are in angle
HAY?
is tangent to the circle at point
A.
Place point B
anywhere on
,
and
.
