$16:(5
minor arc; 55
10-2 Measuring Angles and Arcs
Find the value of x .
SHOPPING The graph shows the results of a
survey in which teens were asked where the best
place was to shop for clothes.
a. What would be the arc measures associated with
the mall and vintage stores categories?
b. Describe the kinds of arcs associated with the
category ³Mall´and category ³None of these´.
c. Are there any congruent arcs in this graph?
Explain.
$16:(5
80
$16:(5
35
and
are diameters of
. Identify each
arc as a major arc, minor arc, or semicircle.
Then find its measure.
$16:(5
a. 273.6, 14.4
b. major arc; minor arc
c. Yes; the arcs associated with the online and none
of these categories have the same arc measure since
each category accounts for the same percentage of
the circle, 9%.
ENTERTAINMENT Use the Ferris wheel
shown to find each measure.
$16:(5
minor arc; 55
m(arc C F G)
$16:(5
semicircle; 180
$16:(5
major arc; 325
$16:(5
minor arc; 55
SHOPPING The graph shows the results of a
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survey
in which
teens
were asked where the best
place was to shop for clothes.
a. What would be the arc measures associated with
$16:(5
40
$16:(5
180
$16:(5
320
Page 1
10-2$16:(5
Measuring Angles and Arcs
180
, if RT = 11 feet
$16:(5
19.01 ft
HISTORY The figure shows the stars in the
Betsy Ross flag referenced at the beginning of
the lesson.
$16:(5
320
$16:(5
100
What is the measure of central angle A ? Explain how
you determined your answer.
$16:(5
260
$16:(5
stars
Use
to find the length of each arc. Round to
the nearest hundredth.
Refer to
between each star
.
Identify a chord that is also a diameter.
, if the radius is 2 inches
$16:(5
$16:(5
4.54 in.
, if PS = 4 millimeters
$16:(5
4.75 mm
, if RT = 11 feet
$16:(5
19.01 ft
HISTORY The figure shows the stars in the
Betsy Ross flag referenced at the beginning of
the lesson.
What is the measure of central angle A ? Explain how
you determined your answer.
$16:(5
stars
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between each star
Page 2