Answer : The correct option is, (A)
![13.1in^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tpo15ej20cat4aunmcrhrldvwq76r2m9qh.png)
Step-by-step explanation :
To calculate the the area of shaded sector in the circle in degree, the formula used as:
![A=(\theta)/(360)* \pi r^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/u7gqajj94bqhi1kidjq3e4mss5cnvruhup.png)
where,
A = area of sector
= angle = 60°
r = radius of circle = 5 in
Now put all the given values in the above formula, we get:
![A=(60)/(360)* 3.14* (5in)^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9yaehv1acnq6ugfsmdnqsmxmglc00l58wp.png)
![A=13.1in^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/n3k1ukooljd0f8ju2zrm2fsu3hwqkda96t.png)
Therefore, the approximate area of the shaded sector in the circle is,
![13.1in^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tpo15ej20cat4aunmcrhrldvwq76r2m9qh.png)