Find the area of a pentagram inscribed in a circle of radius 6 cm. a. 27.823 sq. cm b. 40.428 sq. cm c. 35.173 sq. cm d. 54.176 sq. cm

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
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Problem: Find the area of a pentagram inscribed in a circle of radius 6 cm.

a. 27.823 sq. cm

b. 40.428 sq. cm

c. 35.173 sq. cm

d. 54.176 sq. cm

GIVEN THE LENGTH AND NUMBER OF SIDES
A = -1X² ( cot 150 )
A = 7/7 Pr
P = nx
REGULAR POLYGON CIRCUMSCRIBING A CIRCLE
A = nr ² ( tan 1530"
n
P= 2nr | tan ISD
n
REGULAR POLYEDI INSCRIBED IN A CIRCLE
A = DR²
sin 340
340
A
P= 2nR sin
A = _a²n
Than E
where
a= length
n = no. of sides
म
f=
Transcribed Image Text:GIVEN THE LENGTH AND NUMBER OF SIDES A = -1X² ( cot 150 ) A = 7/7 Pr P = nx REGULAR POLYGON CIRCUMSCRIBING A CIRCLE A = nr ² ( tan 1530" n P= 2nr | tan ISD n REGULAR POLYEDI INSCRIBED IN A CIRCLE A = DR² sin 340 340 A P= 2nR sin A = _a²n Than E where a= length n = no. of sides म f=
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