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Sagot :
ANSWER:
A. 2.2%
STEP-BY-STEP EXPLANATION:
We can calculate the probability using the quotient of the area of the small circle and the area of the entire rectangular sector, like this:
[tex]\begin{gathered} p=\frac{A_c}{A_r} \\ A_c=\pi\cdot r^2 \\ A_r=l\cdot w \end{gathered}[/tex]In the circle the radius is 6 inches and in the rectangle the length is 84 inches and the width is 60 inches.
Therefore we replace and we have:
[tex]\begin{gathered} A_c=3.14\cdot6^2=113.04 \\ A_r=84\cdot60=5040 \\ p=\frac{113.04}{5040}=0.022=2.2\text{\%} \end{gathered}[/tex]
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