Search any question & find its solution
Question:
Answered & Verified by Expert
Consider the following statements:
1. $1^{\circ}$ in radian measure is less than $0.02$ radians.
2. 1 radian in degree measure is greater than $45^{\circ}$. Which of the above statements is/are correct?
Options:
1. $1^{\circ}$ in radian measure is less than $0.02$ radians.
2. 1 radian in degree measure is greater than $45^{\circ}$. Which of the above statements is/are correct?
Solution:
2952 Upvotes
Verified Answer
The correct answer is:
Both 1 and 2
(1) $1^{\circ}=\left(\frac{\pi}{180}\right)$ radian $=0.01746$ radian which is less than $0.02$ radian.
(2) 1 radian $=\left(\frac{180}{\pi}\right)^{\circ}=57^{\circ} 16^{\prime} 22^{\prime \prime}$ approx. which is
greater than $45^{\circ}$. Hence, both statements are true.
(2) 1 radian $=\left(\frac{180}{\pi}\right)^{\circ}=57^{\circ} 16^{\prime} 22^{\prime \prime}$ approx. which is
greater than $45^{\circ}$. Hence, both statements are true.
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.