Question

Consider the following statements :
1. $1^o$ in radian measure is less than 0.02 radians.
2. 1 radian in degree measure is greater than ${45}^o$
Which of the above statements is/are correct ?

• A. 1 only
• B. 2 only
• C. Both 1 and 2
• D. Neither 1 nor 2

Answer 1

Answer: (C)

Both 1 and 2

1 degree in radians $=1\times \frac{\pi }{180}=0.0174$ which is less than $0.02$ radians.

1 radians in degree $=1\times \frac{180}{\pi }=57.32$ which is greater than ${45}^o$.

Hence, both are correct.