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Find the area of the shaded sector of the circle show all of your work write your answer in terms of pi

Find The Area Of The Shaded Sector Of The Circle Show All Of Your Work Write Your Answer In Terms Of Pi class=

Sagot :

explanation

We are to find the area of the shaded sector

To do s,w e will have to use the formula:

[tex]\frac{\theta}{360}\times\pi r^2[/tex]

in our case, the central angle is a major angle

[tex]\begin{gathered} \theta=360-90=270 \\ r=18ft \end{gathered}[/tex]

Thus, we will have

[tex]\frac{270}{360}\times\pi\times18^2=243\times\pi=243\pi[/tex]

Thus, the answer is

[tex]243\pi[/tex]

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