NCERT Class XI Mathematics - Trigonometric Functions - Solutions

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Question : 3
Total: 61
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second ?
Solution:  
Number of revolutions made by wheel in one minute = 360
As we know that, 1 Revolution = 2π Radians
∴ 360 Revolutions = 720 π Radians
∴ In 1 minute wheel can make = 720 π Radians
⇒ In 60 seconds wheel can make = 720 π Radians
⇒ In 1 second wheel can make
720π
60
Radians = 12π Radians
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