What is the angle covered by the minute hand in 45 minutes 50 seconds?*240°270°275°300°
Question
What is the angle covered by the minute hand in 45 minutes 50 seconds?
*240°
*270°
*275°
*300°
Solution
The minute hand of a clock moves 360° in 60 minutes (or one hour). This is because a full rotation around the clock is 360°.
To find out how much the minute hand moves in one minute, we divide 360° by 60, which equals 6°.
So, in 45 minutes, the minute hand would cover 45 * 6° = 270°.
However, we also have an additional 50 seconds.
To find out how much the minute hand moves in one second, we divide 6° (which is the movement of the hand in one minute) by 60 (the number of seconds in a minute), which equals 0.1°.
So, in 50 seconds, the minute hand would cover 50 * 0.1° = 5°.
Adding these two results together, the minute hand would cover 270° + 5° = 275° in 45 minutes and 50 seconds.
So, the correct answer is 275°.
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