Question

Can you please help me out

Answer 1

A. 2.2%

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:

`\begin{gathered} p=(A_c)/(A_r) \\ A_c=\pi\cdot r^2 \\ A_r=l\cdot w \end{gathered}`

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:

`\begin{gathered} A_c=3.14\cdot6^2=113.04 \\ A_r=84\cdot60=5040 \\ p=(113.04)/(5040)=0.022=2.2\text{\%} \end{gathered}`