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The circle has center O, and its radius is 9 in. Given that m

The circle has center O, and its radius is 9 in. Given that m-example-1

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solution

For this case we can do the following:


AB=2\pi r((x)/(360))=2\pi\cdot9in((40)/(360))=2\pi=6.283\text{ in}

And then the lenght of the ARC ACB would be:


\text{ACB}=2\pi(9)-2\pi=2\pi(9-1)=16\pi=50.265in

Final answer 16 pi

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