Download the Problem of Geometry Clock Angles MCQs with Free PDF for PPSC, FPSC, PMS, NTS, KPKPSC, and SPSC exam
Clock angles are a common problem in basic geometry. The angle between the hour hand and the minute hand of a clock is the angle formed by the two hands when they are at different positions on the clock face. The angle can be calculated using the following formula:
Angle = (30 * Hour) + (0.5 * Minute)
where:
- Hour is the current hour (0-11)
- Minute is the current minute
For example, at 10:30, the angle between the hour hand and the minute hand would be:
Angle = (30 * 10) + (0.5 * 30) = 330 degrees
The hour hand moves 30 degrees per hour, and the minute hand moves 360 degrees per hour. So, in 30 minutes, the minute hand will have moved 30 degrees more than the hour hand. This is why the formula includes a term for the minute hand.
The angle between the hour hand and the minute hand can also be calculated using a geometric approach. The hour hand can be thought of as a rotating line segment, and the minute hand can be thought of as a rotating circle. The angle between the two hands is the angle between the two line segments that form the hands.
This geometric approach can be used to solve more complex problems involving clock angles, such as finding the angle between the hands when the minute hand is pointing to a different hour than the hour hand.
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