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Question

The circular measure of the included angle formed by the hour hand and minute hand of a clock at 3 PM will be

This question was previously asked in
SSC CGL 2016 (Tier 1) Previous Year Question Paper (11-Sep-2016) (Shift 2)
The correct answer is

π⁄2

At 3 PM, the hour hand points to 3 and the minute hand points to 12. These hands form a right angle.

A right angle is equivalent to 90 degrees in standard measure.

To convert degrees to radians, we use the formula: Radians = Degrees × (π/180).

Substituting 90 degrees, we get: Radians = 90 × (π/180) = π/2.

Therefore, the circular measure of the angle between the hands at 3 PM is π/2 radians.

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