Considering the given angle and the given formula, it is found that the percentage error for an angle of 0.02 radians is of 0.0067%.
For an angle [tex]\theta[/tex], it is given by the following formula:
[tex]P = 100\frac{|\sin{\theta} - \theta|}{\sin{\theta}}[/tex]
In this problem, the angle is of [tex]\theta = 0.02[/tex], hence:
[tex]P = 100\frac{|\sin{0.02} - 0.02|}{\sin{0.02}}[/tex]
[tex]P = 0.0067[/tex]
The percentage error for an angle of 0.02 radians is of 0.0067%.
More can be learned about percent error at https://brainly.com/question/25224978
