Answer : The correct option is, (A) [tex]13.1in^2[/tex]
Step-by-step explanation :
To calculate the the area of shaded sector in the circle in degree, the formula used as:
[tex]A=\frac{\theta}{360}\times \pi r^2[/tex]
where,
A = area of sector
[tex]\theta[/tex] = angle = 60°
r = radius of circle = 5 in
Now put all the given values in the above formula, we get:
[tex]A=\frac{60}{360}\times 3.14\times (5in)^2[/tex]
[tex]A=13.1in^2[/tex]
Therefore, the approximate area of the shaded sector in the circle is, [tex]13.1in^2[/tex]
