To find the angle between the hands of a clock at 8 hour 15 minute, we first need to understand the layout of a clock. A clock consists of two hands, the shorter hand representing hours, and the longer hand representing minutes. The clock has 12 hours marked, and each hour is equivalent to 30 degrees (360 degrees divided by 12 hours).
At 8 o’clock, the hour hand is pointing straight towards the number 8, which is the 8th hour mark on the clock. To determine the exact position of the hour hand, we need to calculate how far it has moved from the 8 o’clock position. Since the hour hand moves at a rate of 30 degrees per hour, between 8 o’clock and 9 o’clock, the hour hand moves 30 degrees.
Now, let’s look at the position of the minute hand. At 15 minutes past the hour, the minute hand is pointing at the number 3 on the clock which represents 15 minutes since the hour began. The minute hand moves at a rate of 6 degrees per minute, so between the 12 o’clock and 3 o’clock position, the minute hand has moved 45 degrees.
To find the angle between the hands, we need to subtract the position of the hour hand from the position of the minute hand. That is 45 degrees minus 30 degrees which equals 15 degrees. Therefore, the angle between the hands of a clock at 8 hour 15 minute is 15 degrees.
The angle between the hands of a clock at 8 hour 15 minute is 15 degrees.
At what angle the hands of clock are inclined at 15 minutes past 15?
When the clock shows 15 minutes past 3, the minute hand would be pointing towards the 3 on the clock face while the hour hand would be pointing slightly beyond the 3, towards the 4. This means that the hands of the clock are not exactly perpendicular to each other, but are at a slight angle.
To calculate this angle, we need to first determine the position of the minute hand, which would be at the 3. The minute hand travels at a rate of 360 degrees in 60 minutes, or 6 degrees per minute. So, in 15 minutes past 3, the minute hand would have moved 15 x 6 = 90 degrees.
Next, we need to determine the position of the hour hand. The hour hand travels at a rate of 360 degrees in 12 hours, or 30 degrees per hour. Since 15 minutes is one-quarter of an hour, the hour hand would have moved 1/4 x 30 = 7.5 degrees.
Therefore, the angle between the minute hand and hour hand at 15 minutes past 3 would be the absolute difference between the positions of the two hands, which is 90 – 7.5 = 82.5 degrees.
The hands of the clock would be inclined at an angle of 82.5 degrees at 15 minutes past 3.
What is the angle traced by hour hand in 15 min?
The angle traced by the hour hand in 15 minutes is equivalent to one-fourth of a full circle or 90 degrees. Since a full circle is 360 degrees and the hour hand completes one full rotation in 12 hours or half a day, we can calculate the angle traced by the hour hand in one minute as (360 degrees ÷ 12 hours) ÷ 60 minutes/hour = 0.5 degrees.
Therefore, the angle traced by the hour hand in 15 minutes is calculated as 0.5 degrees × 15 minutes = 7.5 degrees. Alternatively, we can divide 90 degrees by 12 (the number of hours on a clock) to get 7.5 degrees to find the same answer.
It’s important to note that the minute hand also moves along with the hour hand, and in 15 minutes, it will have traced an angle of 90 degrees, which is equivalent to one-fourth of a full circle. However, the question specifically asks about the angle traced by the hour hand, not the minute hand.
What angle is formed between 2 to 12 in a clock?
A clock comprises 12 numbers arranged in a circular pattern. Each number represents an hour, and the distance between any two consecutive hour numbers is 30 degrees, making a total of 360 degrees in a full circle. Since we are interested in the angle between the numbers 2 and 12, we need to determine the number of hours that separate the two numbers.
Counting clockwise from 2 to 12, we have 10 numbers or hours. Therefore, the total angle between the 2 and 12 on a clock is 10 x 30 degrees = 300 degrees. We can express this in terms of a central angle as well. Since the center of the clock represents 360 degrees, the central angle formed between 2 and 12 is (300/360) x 2π, which equals 5π/6 radians.
The angle formed between 2 and 12 on a clock is 300 degrees or 5π/6 radians. It is worth noting that this answer assumes that a regular 12-hour clock is being used, where the numbers are equally spaced around the clock face. If the clock is different, the angle between 2 and 12 may be different as well.
What is the angle through which the minute hand of a clock moves from 8 pm to 8 35 pm?
To find the angle through which the minute hand moves from 8 pm to 8:35 pm, we need to use the formula:
Angle = ((Time in Hours x 30) – (Time in Minutes x 0.5))
Here, the time in hours is 8 and the time in minutes is 35.
So, the angle can be calculated as:
((8 x 30) – (35 x 0.5))
= (240 – 17.5)
= 222.5 degrees
Therefore, the angle through which the minute hand moves from 8 pm to 8:35 pm is 222.5 degrees. This means that the minute hand travels approximately 222.5 degrees clockwise from its starting position at 8 pm to its new position at 8:35 pm, which is just past the 7 on the clock face.
What does 20 minutes past 2 mean?
When someone refers to the time being “20 minutes past 2”, it means that the current time is 2:20. The expression “20 minutes past” is used to indicate that a certain amount of time has passed since the beginning of the hour.
To break it down further, we can understand time in terms of hours and minutes. There are 24 hours in a day, with each hour consisting of 60 minutes. When someone says it is “20 minutes past 2”, they are referring to the second hour of the day, which is counted from midnight.
The hour hand on a clock would be pointing to the number 2, while the minute hand would have advanced 20 ticks past the 12 o’clock mark. This means that 1/3 of the hour has already passed, and there are still 40 minutes left until the time reaches 3:00.
It is important to pay attention to time expressions like “20 minutes past 2” as they are commonly used in everyday language. This type of information can be helpful when making appointments, scheduling events, or simply keeping track of your day-to-day activities. With practice, you can learn to read the time on a clock easily and accurately, and never risk being late for an important meeting again.
What angle is formed by minute hand in 20 minutes?
The angle formed by the minute hand in 20 minutes is 120 degrees. This is determined by using the fact that the minute hand moves 6 degrees every minute. Therefore, in 20 minutes, the minute hand covers 20 x 6 = 120 degrees. Another way to calculate this is by using the formula for the angle formed by the minute hand given by (6M), where M is the number of minutes.
In this case, 6 x 20 = 120. It is important to note that the angle of the minute hand is always measured from the 12 o’clock position on the clock face. This angle can be used to determine the position of the hour hand in relation to the minute hand and to calculate the time elapsed between two different positions of the minute hand.