The degree of the radian angle 0.11 is
![6.3^(\circ)](https://img.qammunity.org/2021/formulas/mathematics/high-school/5x24uu8h5y2xzlyjco9knyv7wvl0pwu63x.png)
Step-by-step explanation:
It is given that the radian angle is 0.11
We need to determine the degrees of the radian angle.
To convert the radian into degrees, let us multiply the radian with
![\left((180)/(\pi)\right)](https://img.qammunity.org/2021/formulas/mathematics/high-school/5kkbgjz0mxrjff1gevbs0sa7bch4urb4ma.png)
Thus, we have,
![0.11*\left((180)/(\pi)\right)=(19.8)/(\pi)](https://img.qammunity.org/2021/formulas/mathematics/high-school/7gbbraxq2em2ztb4nqjg1ygqyqgf02uylk.png)
It is given that
![\pi=3.14](https://img.qammunity.org/2021/formulas/mathematics/middle-school/rl6dh8czfqdfue9fciig8t9lofe1lzq2pb.png)
Substituting
in the above expression, we have,
![(19.8)/(3.14) =6.303...](https://img.qammunity.org/2021/formulas/mathematics/high-school/91166cso6oje0h24hyik3sgv64bsdzuxyq.png)
Rounding off to the nearest tenth, we have,
![6.3^(\circ)](https://img.qammunity.org/2021/formulas/mathematics/high-school/5x24uu8h5y2xzlyjco9knyv7wvl0pwu63x.png)
Thus, the degree of the radian angle 0.11 is
![6.3^(\circ)](https://img.qammunity.org/2021/formulas/mathematics/high-school/5x24uu8h5y2xzlyjco9knyv7wvl0pwu63x.png)