Question

Ram takes path 1 (straight line) to go from P to Q and shyam takes path 2 (semicircle). Find the distance traveled by Ram and Shyam.

• A. 50$\pi$ m, 50$\pi$ m
• B. 100 m, 100 m
• C. 100 m, 50$\pi$ m
• D. None of the above

Answer 1

The correct option is C 100 m, 50$\pi$ m

The distance traveled by Ram is directly given in the question as 100 m
The distance traveled by shyam is calculated as $\pi r$ as it is a semi circular path. In this case r = 100/2 = 50 m.
So, the distance traveled by him is $\pi \left(50\right)=50\pi m$.
Hence, the distances traveled by Ram and Shyam are 100 m and $50\pi m$.