7. This figure shows a regular dodecagon divided into 12 congruent triangles. 1 30 a) Find ZAOB. b) Find ZOAC. A r C Notice that in one of these triangles, AAOB, OA OB = r, the radius of the dodecagon; AC has been drawn perpendicular to OB. B c) Find AC in terms of r. d) Find aAAOB in terms of r. e) Find the area of the dodecagon in terms of r. f) Why is the formula for the area of a regular dodecagon so much like the formula for the area of a circle?
7. This figure shows a regular dodecagon divided into 12 congruent triangles. 1 30 a) Find ZAOB. b) Find ZOAC. A r C Notice that in one of these triangles, AAOB, OA OB = r, the radius of the dodecagon; AC has been drawn perpendicular to OB. B c) Find AC in terms of r. d) Find aAAOB in terms of r. e) Find the area of the dodecagon in terms of r. f) Why is the formula for the area of a regular dodecagon so much like the formula for the area of a circle?
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
Need help on all of them
Transcribed Image Text:Fide
7. This figure shows a regular dodecagon divided
into 12 congruent triangles.
30
Y
to
A
C
B
Notice that in one of these triangles, AAOB,
OA = OB = r, the radius of the dodecagon;
AC has been drawn perpendicular to OB.
a) Find ZAOB.
b) Find ZOAC.
c) Find AC in terms of r.
d) Find aAAOB in terms of r.
e) Find the area of the dodecagon in terms of r.
f) Why is the formula for the area of a regular
dodecagon so much like the formula for the
area of a circle?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning