Need help on all of them Fide7. This figure shows a regular dodecagon dividedinto 12 congruent triangles.30YtoACBNotice 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 regulardodecagon so much like the formula for thearea of a circle?

In regular dodecagon, every side of its making equal angle at center that is equal to the 360°12=30°…

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

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Question

Need help on all of them

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?

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