If A is the area of the circle, then A, A represents the area of the sector, because = 0 2π fraction of the area covered by the sector. Find the area of the sector formed by central angle in a circle of radius r if T 0= ; r = 2m 3 2 Submit Question m' Question Help: Written Example 0 2T gives the

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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If \( A \) is the area of the circle, then \( A_s = \frac{A \theta}{2 \pi} \) represents the area of the sector, because \( \frac{\theta}{2 \pi} \) gives the fraction of the area covered by the sector.

Find the area of the sector formed by central angle \( \theta \) in a circle of radius \( r \) if

\[ \theta = \frac{\pi}{3} \, ; \, r = 2 \, \text{m} \]

\[ \boxed{ \phantom{} } \] \( \text{m}^2 \)

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Transcribed Image Text:If \( A \) is the area of the circle, then \( A_s = \frac{A \theta}{2 \pi} \) represents the area of the sector, because \( \frac{\theta}{2 \pi} \) gives the fraction of the area covered by the sector. Find the area of the sector formed by central angle \( \theta \) in a circle of radius \( r \) if \[ \theta = \frac{\pi}{3} \, ; \, r = 2 \, \text{m} \] \[ \boxed{ \phantom{} } \] \( \text{m}^2 \) Question Help: Written Example [Submit Question Button]
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