Unit 4 – Circles
Review for Final Exam
Explain
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What unit do you use to measure an arc?
What unit do you use to measure arc length?
What does it mean to find the exact measure?
What is the difference between congruent and
equal?
True/False
• The perpendicular bisector of a chord of a circle
passes through the center of the circle.
True/False
• The largest chord of a circle is a diameter of a
circle.
True/False
• The shortest chord of a circle is the radius of a
circle.
True/False
• The measure of an arc is equal to one half the
measure of its central angle.
True/False
• Inscribed angles that intercept the same arc are
supplementary.
True/False
• The measure of opposite angles in a cyclic
quadrilateral are equal.
True/False
• The measure of an inscribed angle in a circle is
equal to the measure of the arc it intercepts.
True/False
• In two different circles, arcs with the same
measure are congruent.
True/False
• The ratio of the diameter to the circumference of
a circle is π.
True/False
• If the arc of a circle measures 90° and has an arc
length of 24π cm, then the radius of the circle is
48 cm.
True/False
• The measure of the two vertical angles formed
by two intersecting chords are the measure of
half the circle.
• A satellite in geostationary orbit stays over the
same spot on Earth. The satellite completes one
orbit in the same time that Earth rotates once
about its axis (23.93 hours). If the satellite’s
orbit has radius 4x107 meters, calculate the
satellite’s orbital speed in meters per second.
• Wilbur Wrong is flying his remote-control plane
in a circle with a radius of 26 meters. His
brother, Orville Wrong, clocks the plane at 18
seconds per revolution. What is the speed of the
plane in meters per second?
• A dinner plate fits snuggly in a square box that
has a perimeter of 48 cm. What is the
circumference of the plate?
• If a pizza is cut into 12 congruent pieces, how
many degrees are in each central angle?
• If the diameter of the pizza is 20 inches, how
long is the arc length (crust) of one slice?
Find the exact and the approximate
arc length.
Find the length of the radius.
Find the exact and the approximate
arc length.