Given:
The radius of the circle = 10 in
The angle of the sector = 37 degrees
Required:
To find the area of the sector and choose the correct option.
Explanation:
The area of the sector of the circle is given by the formula.
[tex]A=\frac{\theta}{360\degree}\pi r^2[/tex]
Where r = radius of the circle and
[tex]\theta=angle[/tex]
The area of the sector in the circle is:
[tex]A=\frac{37\degree}{180\degree}\pi(10\text{ in\rparen}^2[/tex]
This matches with the first option.
Final Answer:
The first option is the correct answer.
