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3.Trigonometrical Ratios, Functions and Identities
easy
एक पहिया एक मिनट में $360^{\circ}$ परिक्रमण करता है तो एक सेकंड में कितने रेडियन माप का कोण बनाएगा ?
A
$12 \pi$
B
$12 \pi$
C
$12 \pi$
D
$12 \pi$
Solution
Number of revolutions made by the wheel in $1$ minute $=360$
$\therefore$ Number of revolutions made by the wheel in $1$ second $=\frac{360}{60}=6$
In one complete revolution, the wheel turns an angle of $2 \pi$ radian.
Hence, in $6$ complete revolutions, it will turn an angle of $6 \times 2 \pi$ radian,
i.e., $12 \pi$ radian
Thus, in one second, the wheel turns an angle of $12 \pi$ radian.
Std 11
Mathematics
