Need help with this trig problem

Question

Consider a angle with an initial ray pointing in the 3-o'clock direction that measures θ radians (where 0≤θ<2π). The circle's radius is 2.8 units long and the terminal point is located at (1.95,2.01).

1. What is the value of θ?

Answer 1

slightly more than 45 degrees or pi/4 radians

the terminal point is very close to (2,2) where x=y, that's a tangent of theta = 1

but x is slightly less than y, so theta is slightly greater than 45 or pi/4

use a calculator to get a closer approximation. have a calculator with trig functions. plug in the inverse tangent of 2.01/1.95 = about 45.86805 degrees = about 46 degrees