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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
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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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?
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?
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