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Find the area of the shaded sector with a radius of 14 and a central angle of 50 degrees.Leave you answer in terms of pi.r= 14 mi

Find the area of the shaded sector with a radius of 14 and a central angle of 50 degrees-example-1

1 Answer

4 votes

Given:

The radius of a circle is 14 mi and central angle 50 degrees.

Required:

Find the area of the shaded region.

Step-by-step explanation:

Formula to calculate area of sector


A=(\theta)/(360)*\pi r^2

Now,


\begin{gathered} A=(50)/(360)*\pi*14^2 \\ =(50)/(360)*\pi*196 \\ =(245)/(9)\pi\text{ }mi^2 \end{gathered}

Answer:

Fourth option Is correct.

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