The area of a sector in a circle is given by
[tex]A=\pi r^2(\frac{\theta}{360\degree})[/tex]Where r is the radius or length of the sector and θ is the central angle in degrees.
For the given case, we have
r = 10 in
θ = 37°
Let us substitute these values into the above formula
[tex]A=\pi10^2(\frac{37}{360})[/tex]As you can see, the correct answer is the 1st option.