How can I solve for the mass and radius in this uniform circular motion problem?

[ajcairns1980]

Homework Statement

A toy airplane is tied to the ceiling with a string. When the airplane's motor is started, it moves with a constant speed of 1.01 m/s in a horizontal circle, as illustrated in the figure. If the angle the string makes with the vertical is 38°, and the tension of the string is 1.1N:

(a) Find the radius of the horizontal circle of the plane
b) Find the mass of the plane.

The Attempt at a Solution

Im having problems understanding how to attack physics problems a point in the right direction would help! I think I am supposed to split this into components using the angle. I drew a FBD with only tension and mg as acting forces. Do I use Newtons 2nd law?

 

[Zyxer22]

The first thing to do is to make a picture. You'll notice that there are only 2 forces acting on the plane. Namely, tension and gravity.

You know that the horizontal motion is circular, so that leads to Fnet = mv^2/r
You know Fnet in the x direction, and velocity. Find a relationship to solve for the mass and then you'll only be left with radius as a variable, which is easily solved for.