Question : The circular measure of the angle formed by the hour hand and minute hand of a clock at 3 p.m. will be:
Option 1: $\frac{\pi}{4}$
Option 2: $\frac{\pi}{3}$
Option 3: $\frac{5\pi}{12}$
Option 4: $\frac{\pi}{2}$
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Correct Answer: $\frac{\pi}{2}$
Solution :
We know the angle formed by the hour hand and minute hand of a clock at 3 p.m. is 90°.
Now, 180° is equivalent to $\pi$ radian.
So, 90° is equivalent to $\frac{\pi}{180}×90°=\frac{\pi}{2}$ radian
Hence, the correct answer is $\frac{\pi}{2}$.
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