Answer:
The answer to convert 1 radian to degrees is 57.
Step-by-step explanation:
1. 1 rad · 180[tex]\frac{180}{\pi }[/tex]
2. cancel out the radians on both sides
3. multiply across 1·180 1·[tex]\pi[/tex]
4. [tex]\frac{180}{\pi }[/tex]
5. 57.3
6. ≅ 57
The angle which is measure of 1 radian in radian unit has the measure of 57 degree when converted to degrees.
To convert the measure of angle from radians to degrees, multiply the angle which is in radian with 180 and divide it with pi (π).
The formula used to convert the measure of angle from radians to degrees is,
[tex]\rm Angle\; in \; degree=Angle\; in \; radian\times\dfrac{180}{\pi }[/tex]
The value of angle in the given problem is 1 radian.
[tex]\theta=1\rm\; rad[/tex]
Convert this into the degree using the above formula,
[tex]\theta=1\times\dfrac{180}{\pi }\\\theta=57.29^o\\\theta \approx 57^o[/tex]
Thus, the angle which is measure of 1 radian in radian unit has the measure of 57 degree when converted to degrees.
Learn more about the radians to degrees here;
https://brainly.com/question/12939121
