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5. Consider the regular pentagon, inscribed in the circle below. The circle has radius 2.5cm and the pentagon has area 15cm2. The center of the circle is marked with a dot. a) The pentagon is comprised of 5 congruent triangles (draw a line from the center of the circle to each vertex of the pentagon). What is the area of one of those triangles, and what are the interior angles of one of those triangles? b) Below are three options for the side length, a, of the pentagon? Which one is correct? x=2 x=3 5 c) What is the apothem if the pentagon? d) Using Archimedes approach, use the inscribed pentagon to approximate the value of .

5. Consider the regular pentagon, inscribed in the circle below. The circle has radius 2.5cm and the pentagon has area 15cm2. The center of the circle is marked with a dot. a) The pentagon is comprised of 5 congruent triangles (draw a line from the center of the circle to each vertex of the pentagon). What is the area of one of those triangles, and what are the interior angles of one of those triangles? b) Below are three options for the side length, a, of the pentagon? Which one is correct? x=2 x=3 5 c) What is the apothem if the pentagon? d) Using Archimedes approach, use the inscribed pentagon to approximate the value of .

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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please on solve part b, c, d

5. Consider the regular pentagon, inscribed in the circle below. The circle has radius 2.5cm and the pentagon has area 15cm2. The center of the circle is marked with a dot. a) The pentagon is comprised of 5 congruent triangles (draw a line from the center of the circle to each vertex of the pentagon). What is the area of one of those triangles, and what are the interior angles of one of those triangles? b) Below are three options for the side length, a, of the pentagon? Which one is correct? x=2 x=3 5 c) What is the apothem if the pentagon? d) Using Archimedes approach, use the inscribed pentagon to approximate the value of .
Transcribed Image Text:5. Consider the regular pentagon, inscribed in the circle below. The circle has radius 2.5cm and the pentagon has area 15cm2. The center of the circle is marked with a dot. a) The pentagon is comprised of 5 congruent triangles (draw a line from the center of the circle to each vertex of the pentagon). What is the area of one of those triangles, and what are the interior angles of one of those triangles? b) Below are three options for the side length, a, of the pentagon? Which one is correct? x=2 x=3 5 c) What is the apothem if the pentagon? d) Using Archimedes approach, use the inscribed pentagon to approximate the value of .
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