1 Answer

Trkaplan · Answer 1 · 2024-03-22T17:17:03+0000

Answer:

area of sector ≈ 148.4 m²

Explanation:

the area of a sector (A) is calculated as

A = area of circle × fraction of circle

= πr² ×
$((7\pi )/(6) )/(2\pi )$ ( r is the radius )

cancel π on numerator / denominator

A = 9² ×
$((7\pi )/(6) )/(2)$

= 81 ×
$(7\pi )/(6)$ ×
(1)/(2)

=
$(81(7)\pi )/(12)$

=
$(567\pi )/(12)$

≈ 148.4 m² ( to the nearest tenth )

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