A central angle of 60° is shown in each. A B C 2 cm Length of DE cm Answer the following. When applicable, give the exact answer in terms of x in simplest form. Length of GH cm (a) For each circle, find the length of the are that is intercepted by the central angle. Length of AB cm (b) For each circle, find the ratio of the are length to the radius. Length of AB Radius of circle C Length of DE Radius of circle F Length of GH Radius of circle J (c) The ratios suggest which of the following? O F -0 IT The length of the arc intercepted by a central angle is 3 by 3 -0 units. D 3 cm radius. The ratios increase by one unit as the lengths of the intercepted arcs increase R O The ratios Increase by units as the radii increator o B units more than the O The length of the arc intercepted by a central angle is proportional to the radius. G Å₁. 00 X JU

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Question
A central angle of 60° is shown in each.
& Ac
C 2 cm
3 cm
Answer the following.
When applicable, give the exact answer in terms of x in simplest form.
(a) For each circle, find the length of the are that is intercepted by the central angle.
Length of AB
Length of DE cm
Length of GHcm
(b) For each circle, find the ratio of the are length to the radius.
Length of AB
Radius of circle C
Length of DE
Radius of circle F
Length of GH
Radius of circle J
cm
(c) The ratios suggest which of the following?
O
C
The length of the arc intercepted by a central angle is
IT
by
-0
units.
radius.
The ratios increase by one unit as the lengths of the intercepted arcs increase
O None of these.
units more than the
The length of the are intercepted by a central angle is proportional to the
O radius.
O The ratios Increase by
units as the radii increase by one unit.
G
8 JU
X
3
Transcribed Image Text:A central angle of 60° is shown in each. & Ac C 2 cm 3 cm Answer the following. When applicable, give the exact answer in terms of x in simplest form. (a) For each circle, find the length of the are that is intercepted by the central angle. Length of AB Length of DE cm Length of GHcm (b) For each circle, find the ratio of the are length to the radius. Length of AB Radius of circle C Length of DE Radius of circle F Length of GH Radius of circle J cm (c) The ratios suggest which of the following? O C The length of the arc intercepted by a central angle is IT by -0 units. radius. The ratios increase by one unit as the lengths of the intercepted arcs increase O None of these. units more than the The length of the are intercepted by a central angle is proportional to the O radius. O The ratios Increase by units as the radii increase by one unit. G 8 JU X 3
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