JEFFERSON MATH PROJECT REGENTS BY CHAPTER - JMap

Math A & B Regents Exam Questions by Prentice Hall Chapter - Geometry Page 46
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312. The accompanying diagram shows a child's spin
toy that is constructed from two chords
intersecting in a circle. The curved edge of the
larger shaded section is one-quarter of the
circumference of the circle, and the curved edge
of the smaller shaded section is one-fifth of the
circumference of the circle.
314. An architect is designing a park with an entrance
represented by point C and a circular garden
with center O, as shown in the accompanying
diagram. The architect plans to connect three
points on the circumference of the garden, A, B,
and D, to the park entrance, C, with walkways
so that walkways CA and CB are tangent to the
garden, walkway DOEC is a path through the
center of the garden, mADB ¼ : mAEB ¼ = 3:2, BC
= 60 meters, and EC = 43.6 meters.
Find the measure of the angle between walkways
CA and CB.
Find the diameter of the circular garden, to the
nearest meter.
What is the measure of angle x?
[A] 72° [B] 108° [C] 40° [D] 81°
313. The accompanying diagram represents circular
pond O with docks located at points A and B.
From a cabin located at C, two sightings are
taken that determine an angle of 30° for tangents
uuur uuur
CA and CB.
315. A small fragment of something brittle, such as
pottery, is called a shard. The accompanying
diagram represents the outline of a shard from a
small round plate that was found at an
archaeological dig.
What is m∠ CAB ?
[A] 60 [B] 30 [C] 75 [D] 150
If BC
uuur is a tangent to » AC at B and
m∠
ABC = 45, what is the measure of » AC , the
outside edge of the shard?
[A] 45° [B] 90° [C] 135° [D] 225°
316. Point P lies outside circle O, which has a
diameter of AOC. The angle formed by tangent
PA and secant PBC measures 30°. Sketch the
conditions given above and find the number of
degrees in the measure of minor arc CB.