The Reflex angle between the hands of a clock at 5 o' clock ?
Question
The Reflex angle between the hands of a clock at 5 o' clock ?
Solution 1
The reflex angle between the hands of a clock at 5 o'clock can be calculated as follows:
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First, understand that a clock is a circle, and a circle is 360 degrees.
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Each hour on the clock represents 30 degrees (360 degrees / 12 hours = 30 degrees per hour).
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At 5 o'clock, the hour hand is at the 5-hour mark. So, the angle of the hour hand from 12 o'clock is 5 * 30 = 150 degrees.
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The minute hand at 5 o'clock is at the 12-hour mark. So, its angle from 12 o'clock is 0 degrees.
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The reflex angle between the hands of the clock is the larger angle at the intersection of the hands. So, we subtract the smaller angle (150 degrees) from the total degrees in a circle (360 degrees).
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Therefore, the reflex angle between the hands of a clock at 5 o'clock is 360 - 150 = 210 degrees.
Solution 2
Sure, here's how you can calculate the reflex angle between the hands of a clock at 5 o'clock:
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First, understand that the clock is divided into 360 degrees. Each hour represents 30 degrees (360 degrees / 12 hours = 30 degrees per hour).
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At 5 o'clock, the hour hand is at the 5-hour mark. So, the angle of the hour hand from 12 o'clock is 5 hours * 30 degrees/hour = 150 degrees.
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The minute hand at 5 o'clock is at the 12-hour mark, which is 0 degrees.
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The reflex angle between the hands is the larger angle at the intersection of the hands, which is the angle on the side that doesn't include the smaller angle between the hands.
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The smaller angle between the hands is the absolute difference between the angles of the two hands, which is |150 degrees - 0 degrees| = 150 degrees.
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The reflex angle is therefore 360 degrees - 150 degrees = 210 degrees.
So, the reflex angle between the hands of a clock at 5 o'clock is 210 degrees.
Solution 3
The reflex angle between the hands of a clock at 5 o'clock can be calculated as follows:
-
First, understand that a clock is a circle, and a circle is 360 degrees.
-
Each hour on the clock represents 30 degrees (360 degrees / 12 hours = 30 degrees per hour).
-
At 5 o'clock, the hour hand is at the 5-hour mark. So, the angle of the hour hand from 12 o'clock is 5 * 30 = 150 degrees.
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The minute hand at 5 o'clock is at the 12-hour mark. So, the angle of the minute hand from 12 o'clock is 0 degrees.
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The reflex angle between the hands of the clock is the larger angle at the intersection of the hands. So, we subtract the smaller angle from 360 degrees.
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Therefore, the reflex angle at 5 o'clock is 360 degrees - 150 degrees = 210 degrees.
Solution 4
To find the reflex angle between the hands of a clock at 5 o'clock, follow these steps:
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First, understand that the clock is divided into 360 degrees. Each hour represents 30 degrees (360 degrees / 12 hours = 30 degrees per hour).
-
At 5 o'clock, the hour hand is at the 5-hour mark. So, the position of the hour hand is 5 * 30 = 150 degrees from the 12 o'clock mark.
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The minute hand at 5 o'clock is at the 12-hour mark. So, its position is 0 degree.
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The reflex angle between the hands of the clock is the larger angle at the intersection of the hands. So, it is 360 degrees - 150 degrees = 210 degrees.
So, the reflex angle between the hands of a clock at 5 o'clock is 210 degrees.
Solution 5
The reflex angle between the hands of a clock at 5 o'clock can be calculated as follows:
-
First, understand that a clock is divided into 360 degrees. Each hour represents 30 degrees (360 degrees / 12 hours = 30 degrees per hour).
-
At 5 o'clock, the hour hand is at the 5-hour mark. So, the position of the hour hand is 5 * 30 = 150 degrees from the 12 o'clock mark.
-
The minute hand at 5 o'clock is at the 12-hour mark. So, its position is 0 degree.
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The reflex angle between the hands of the clock is the larger angle at the intersection of the hands. So, it is 360 degrees - 150 degrees = 210 degrees.
So, the reflex angle between the hands of a clock at 5 o'clock is 210 degrees.
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