What is the area of the shaded sector of the circle? 9 27 81 162

Asked by wiki @ 16/11/2020 in Mathematics viewed by 341 People

What is the area of the shaded sector of the circle?
9 pi units^2
27 pi units^2
81 pi units ^2
162 pi units^2

Answered by wiki @ 16/11/2020

Answer:

27π units²

Step-by-step explanation:

The area (A) of the shaded sector is calculated as

A = area of circle × fraction of circle

=πr² × $\frac{120}{360}$

= π × 9² × $\frac{1}{3}$

= 81π × $\frac{1}{3}$

= 27π units²

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