You may find the following formulas useful. Are length: re Oradians Area: re 1. The diagram below shows three concentric circles. The radii of the inner, middle, and outer circles are 2cm, 4cm and 8cm respectively. The circles are divided into twelve equal angles at the center. A sector of the middle circle is shaded. a. Find the angle, in radians, of the shaded sector. Sector A b. Sector B has the same arc length as Sector A, but has a different radius and sector angle. Explain how you know it has the same arc length as Sector A. Use the shaded figures below to support your answer. c. Sector C has the same area as Sector A, but has a different radius and sector angle. Explain how you know it has the same area as Sector A. Use the shaded figures below to support your answer.
You may find the following formulas useful. Are length: re Oradians Area: re 1. The diagram below shows three concentric circles. The radii of the inner, middle, and outer circles are 2cm, 4cm and 8cm respectively. The circles are divided into twelve equal angles at the center. A sector of the middle circle is shaded. a. Find the angle, in radians, of the shaded sector. Sector A b. Sector B has the same arc length as Sector A, but has a different radius and sector angle. Explain how you know it has the same arc length as Sector A. Use the shaded figures below to support your answer. c. Sector C has the same area as Sector A, but has a different radius and sector angle. Explain how you know it has the same area as Sector A. Use the shaded figures below to support your answer.
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
Related questions
Question
![1:13 4
UPDATED Sectors of cir...
You may find the following formulas useful.
O radians
Are length: re
Area:
1. The diagram below shows three concentric circles.
The radii of the inner, middle, and outer circles are
2cm, 4cm and 8cm respectively. The circles are
divided into twelve equal angles at the center. A
sector of the middle circle is shaded.
a. Find the angle, in radians, of the shaded sector.
Sector A
b. Sector B has the same arc length as Sector A, but
has a different radius and sector angle. Explain how
you know it has the same arc length as Sector A.
Use the shaded figures below to support your
answer.
c. Sector C has the same area as Sector A, but has a
different radius and sector angle. Explain how you
know it has the same area as Sector A. Use the
shaded figures below to support your answer.
13
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Transcribed Image Text:1:13 4
UPDATED Sectors of cir...
You may find the following formulas useful.
O radians
Are length: re
Area:
1. The diagram below shows three concentric circles.
The radii of the inner, middle, and outer circles are
2cm, 4cm and 8cm respectively. The circles are
divided into twelve equal angles at the center. A
sector of the middle circle is shaded.
a. Find the angle, in radians, of the shaded sector.
Sector A
b. Sector B has the same arc length as Sector A, but
has a different radius and sector angle. Explain how
you know it has the same arc length as Sector A.
Use the shaded figures below to support your
answer.
c. Sector C has the same area as Sector A, but has a
different radius and sector angle. Explain how you
know it has the same area as Sector A. Use the
shaded figures below to support your answer.
13
Dashboard
Calendar
To Do
Notifications
Inbox
因
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