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Write an expression in terms of Pi that represents the area of the shaded part of N.

Write an expression in terms of Pi that represents the area of the shaded part of-example-1
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User Degr
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1 Answer

4 votes
Answer:

The area of the shaded part is:


=(PN)^2\lbrack\pi-(1)/(2)(75-\sin 75)\rbrack

Step-by-step explanation:

The area of the shaded part is the subtraction of the area of the unshaded part from the area of the whole circle.

Area of the ushaded part is:


(1)/(2)*(PN)^2*(75-\sin 75)

Area of the circle is:


(PN)^2\pi

Area of the shaded part is:


\begin{gathered} (PN)^2\pi-(1)/(2)(PN)^2(75-\sin 75) \\ \\ =(PN)^2\lbrack\pi-(1)/(2)(75-\sin 75)\rbrack \end{gathered}

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User Zomono
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