Hello!
As you can see, we have a radius of 6. If we divide, this means that this is 2.5 radians. To convert radians to degrees we use the formula below.
[tex] \frac{180}{ \pi }x[/tex]
First of all we divide 180 by pi.
180/[tex] \pi [/tex]≈57.3
Now we multiply by 2.5
57.3(2.5)=143.25°
Note that the angle we see is obtuse, or greater than 90°.
Therefore, ∠θ≈143.25°
Now we need to convert this back into radians. This can be represented by the equation below.
[tex] \frac{ \pi }{180}x [/tex]
First we divide pi by 180 then multiply by our angle.
[tex] \pi [/tex]/180(143.25)≈2.5
Therefore, our angle theta is about 2.5 radians.
I hope this helps!
