Consider the following statements:

1. 1° in radian measure is less than 0.02 radians.

2. 1 radian in degree measure is greater than 45°.

Which of the above statements is / are correct?

Question

Question

Answer 1

Concept:

\(1^{0} =\frac{\pi}{180} \text { rad } \\\)

\(\text { 1 radian }=\frac{180}{\pi} \text {degree} \)

Calculation:

Statement 1:

\(\begin{aligned} 1^{0} &=\frac{\pi}{180} \text { rad } \\ &=\frac{3.14}{180}\\&=0.01746 <0.02 \end{aligned}\)

Statement 2:

\(\text { 1 radian }=\frac{180}{\pi}\\=\frac{180}{3 \cdot 14} \approx 57^{\circ}>45^{\circ}\)

So, both statements are correct.

Hence, option (3) is correct.

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