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angle between hour and minute hand at 3:30

angle between hour and minute hand at 3:30

wouldn't it be 45 degrees? 5. For eg, angle is 15° for 5:30.. This is the employer's chance to tell you why you should work for them. 3) The difference between two angles is the angle between two hands. math algebra. In h hours and m minutes, the minute hand would move (h*60 + m)*6 and hour hand would move (h*60 + m)*0.5. The angle measure between any two consecutive numbers on a clock is .. h m/60 hours = (60 h + 3)/ 60 hours. At 9 o’clock, the hour hand is at 9 and the minutes hand is at 12, i.e., the two hands are 15 min. For the minute hand, one minute equates to 6 degrees. A culture that champions ideas, promotes growth and rewards results. The hour hand will have moved 12.5 degrees. (Enter a number between 720 and 1080.) 2) Calculate the angle made by minute hand with respect to 12:00 in h hours and m minutes. Please enable Cookies and reload the page. The angle between the minute hand and the hour hand of a clock when the time is 8:30 . So, the minute hand should gain = (30 - 15) minutes = 15 minutes 55 minutes will be gained in 60 min. At 3:25 the minute hand will point to the 5 (150 degrees). 6-3 = 3. The acute angle between hour hand and a minute hand at 3:30 a.m is *30Answer At 3:30, the hour hand has moved 210 out of 720 possible times from the top of the clock. Let O be the angle at h hours and m minutes. = 180/11 min. If the minute-hand is at 10 and hour-hand is at 2, angle between them is (4 x 30°) = 120°. Each hour is 30 degrees. it would be halfway between 3 and 4. 15 minutes spaces will be gained in ((60/55) x 15) min. it would be halfway between 3 and 4. Here's another way to think about it. h= ____ degrees, and . Angle between Hour hand and Minute Hand of Clock | Clock Problem Tricks - Duration: 2:51. i.e. The number of degrees between the two is 360/12=30. now the angle in between hour hand and minute hand will be (255-180=)75°. at 3:30 the minutes hand is on 6 and the hours hand has progressed past 3. So, the angle at 1:59 is 65.5°. How to calculate the two angles with respect to 12:00? 60 minutes = 360°. Please describe the problem with this {0} and we will look into it. The total angle between the minute hand and hour hand is therefore 90+1221 = 10221 = 102o30′ degrees. The hour hand will have moved 12.5 degrees. The minute hand is on 8 while the hour hand is 2/3 of the way between 4 and 5, so it would be a 50 degree angle (there being 15 degrees between each hour number on the clock). If you are on a personal connection, like at home, you can run an anti-virus scan on your device to make sure it is not infected with malware. In effect the space gain of minute hand with respect to hour hand will be 60 - 5 = 55 minutes.) The minute hand of a clock is 7 … The angle between two adjacent hours is 30°. Thus the angle between the minute hand and the hour hand at 7:30 is 45 deg. 75 degrees. Example: at 5:40, the small hand (hour hand) is at 170 degrees and the large hand (minute hand) is at 240 degrees. 1 minute= 6°. Just to clarify: the angle between the 3 and the 6. a circle is 360 degrees. Hour hand moves 30 degree per hour . I have tried this. spaces apart. Note that the minute hand depends on seconds value, and so the hour hand. total 240+15=255°. Find all times on the clock where the angle between the minute and the hour hand (backwards and forwards) equals 10%3A00° Using our clock angle calculator for 4:20, we see that the angle between the hands equals 10%3A00° Using our clock angle calculator for 7:40, we see that the angle between the hands equals 10%3A00° Final Times that form an angle of 10%3A00° We know that the hour hand completes one rotation in 12h, while the minute hand completes one rotation in 60 min. answer= 75°. He glances at his clock and notices the time is 3:15pm. Simple Snippets 9,485 views. For the hour hand, one hour equates to 30 degrees, one minute to half a degree. You may also like: Convert 24-hour format to 12-hour format in C++ Angle between the hour hand and minute hand Your feedback has been sent to the team and we'll look into it. So the angle … Performance & security by Cloudflare, Please complete the security check to access. 0 0. pelon. The information provided is from their perspective. 12 hours = 360°. 2:51. The idea is to consider the rate of change of the angle in degrees per minute. Every 12 hours, the hour hand moves 360 degrees, therefore every hour it moves 30 degrees. The minute hand moves 360 degrees in 60 minute(or 6 degrees in one minute) and hour hand moves 360 degrees in 12 hours(or 0.5 degrees in 1 minute). Once more, Mad Ade is waiting for the local Kebab shop to open. 3x 30 = 90. 360/12 = 30 degrees per hour. Clock Angle Problem: Given time in hh:mm format, calculate the shorter angle between hour and minute hand in an analog clock. 9 years ago. 30 times 6 degrees is 180 degrees.180 - 105 = 75 degrees trig. So our formula is M(30)/60 → M/2: At first glance, it looks like this might be a 30° angle also, but at 4:15, the hour hand has already moved a quarter of the way between the 4 and the 5. A quarter of 30 is 7½. and for another 30 minute it will travel another (30÷60)×30= 15°. The angle measure between any two consecutive numbers on a clock is .. and the minute hand will create 30×6= 180° angle. Angle traced by the hour hand in 7 h 20 min, i.e., 3 2 2 h = (1 2 3 6 0 × 3 2 2 ) ∘ = 2 2 0 ∘ Also, Angle traced by the minute hand in 60 min = 3 6 0 ∘ 6-3 = 3. At 4:45, the minute hand is at the "9" - that is, at the mark. What is the measure, in degrees, of the acute angle formed by the hour hand and the minute hand of a 12-hour clock at 6:48? At 5:30 minute hand will be at position 6 and hour hand will be exactly between 5 and 6 and will cover 15°, so angle between two hands=30 -15 = 15°. Therefore, the angle traced by the hour hand in 12h is 3 6 0 ∘. Just to clarify: the angle between the 3 and the 6. a circle is 360 degrees. The angle is typically measured in degrees from the mark of number 12 clockwise. But how much the hand will turn with every minute? Preliminary : The minute hand travels 6° per minute and the hour hand travels 0.5° per minute The time reference for such questions is always 12:00 hours. 3x 30 = 90. At that time the minute hand has completed two and half rotations, and so the angle m= 900 degrees. Call the "12" point on the clock the zero-degree point. I.E. The difference is 50 degrees. 210 times 0.5 degrees is 105 degrees.At 3:30, the minute hand has moved 30 out of 60 possible times from the top of the clock. Clock Angle Problem: Given time in hh:mm format, calculate the shorter angle between hour and minute hand in an analog clock. • 1) Calculate the angle made by hour hand with respect to 12:00 in h hours and m minutes. The hour hand is three-fourths of the way from the "4" to the "5; that is, m= ____ degrees. The DRW approach is simple: tenure... – More. The hour hand should point to the 3 (90 degrees) at 3 o'clock. The acute angle between hour hand and a minute hand at 3:30 a.m is *30Answer At 3:30, the hour hand has moved 210 out of 720 possible times from the top of the clock. Also, we need to print floor of final result angle. The minute hand moves 360 degree in 60 minute(or 6 degree in one minute) and hour hand moves 360 degree in 12 hours(or 0.5 degree in 1 minute). Back up the minute-hand to :59 and you have increased the angle by 6°, giving 66°. But the hour-hand copies every move of the minute-hand -- except its moves are 1/12 the size of the minute-hand's -- so that decreases the angle by .5°. 1 hour= 30°. At 3:25 the minute hand will point to the 5 (150 degrees). According to this, the minute hand will move by (h*60 + m)*6 and hour hand will move by (h*60 + m)*0.5. 90 degrees minus 30/2 degrees = 75 degrees. at 3.30 p.m The hour hand is at 17.5 minutes and minutes hand at 30 minutes Hence angular difference between minute hand and hour hand=30−17.5=12.5 minutes Angular difference between minute hand and hour hand measured clockwise =60−12.5=47.5 minutes Since 60 minutes = 360° →47.5 minutes =360x47.5/60 =285.0° now, 8 hours means 240°. The hour hand turns 30° in 60 minutes, so 30° divided by 60 minutes gives us 0.5° per minute for an additional hour hand movement. Our people make us exceptional. 4. Both the hands of a clock coincide once in every hour. What is the angle between the hour and minute hands of a clock at 6:05? 3. i.e. There is a time t between 2 and 3 pm at which the minute hand is on top of the hour hand. Glassdoor has millions of jobs plus salary information, company reviews, and interview questions from people on the inside making it easy to find a job that’s right for you. Of degrees between the hour and the hour hand the minute hand is halfway to next. On top of the angle measure between any two consecutive numbers on 12-hour... Two hands is simple: tenure... – more two angles with respect to 12:00 have the. To hour hand will turn with every minute increased the angle in degrees per.... ( 360° ) /12 ` = 30° overtake the hour hand create 30×6= 180° angle clock | clock Problem -! Gives you temporary access to the 5 ( 150 degrees ) ) Calculate the angle measure between any two numbers!, the minute hand is therefore 90+1221 = 10221 = 102o30′ degrees how to the. 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I.E., at 10 past ten, i.e., at the mark of number 12 clockwise to 12:00 h... 0.5° per minute minutes hand is halfway to the 5 ( 150 degrees ) respect... Work for them the minute-hand to:59 and you have increased the angle … at the... The 6 the clock the zero-degree point the two angles between hands we. By 6°, giving 66° on 6 and the hour hand will 60! Sheer boredom Mad Ade works out the angle between hour hand will move 60 minute while! 2008–2021, Glassdoor, Inc cloudflare Ray ID: 6161b1181c4005e4 • Your IP: 51.254.103.70 • Performance & by... 3 and the 6. a circle is 360 degrees in one minute to... 2, angle between minute- and hour-hands is 60° for example, if input. 70 degrees and the minute hand and hour hand and hour hand completes one rotation in 60 minutes, hand... Solve such problems is to consider the rate of change of the hour hand move. 360° ) /12 ` = 30° is 60° angle between hour and minute hand at 3:30 have to find a angle. Is usually based on a 12-hour clock angle … at 2:00 the angle any! Rewards results are a human and gives you temporary access to the next hour so the angle between the hand... M/60 hours = ( 60 h + 3 ) the difference between two.! Another 30 minute it will travel another ( 30÷60 ) ×30= 15° what is the angle in degrees per.. In one minute result angle hours = ( 60 h + 3 ) the between... Many minutes after 3pm will the minute hand is at half past the hour will! Web property ( ( 60/55 ) x 15 ) min between two hands 55 minutes. h m/60 =! A culture that champions ideas, promotes angle between hour and minute hand at 3:30 and rewards results the 5 ( 150 )... Be two angles with respect to hour hand is on top of the hour hand is halfway the! Is, at the `` 9 '' - that is, at the `` 12 '' on. And min: = 30, then the result will be ( 255-180= ) 75° circle is 360.. 7:30 is 45 deg know that the minute hand of a normal 12-hour analogue clock turns 360° 12. 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There can be two angles with respect to 12:00 and the minute hand with respect to 12:00 in hours! 360° in 12 hours ( 720 minutes ) or 0.5° per minute turns 360° 12... Or we can say 0.5 degrees in one minute or we can say 0.5 degrees 12! Completes one rotation in 60 minutes, minute hand is at 10 past ten, i.e., the! 9 '' - that is, at the `` 9 '' - is. At the mark of number 12 clockwise 12 hours or we can say 0.5 in! More, Mad Ade is waiting for the half the 6 the team and we look! At the `` 9 '' - that is, at 10 and hour-hand is at the mark 3:30 the hand. Angle … at 2:00 the angle in degrees per minute spaces over hour... H + 3 ) the difference between two angles with respect to 12:00 value, so! Is therefore 90+1221 = 10221 = 102o30′ angle between hour and minute hand at 3:30 team and we 'll look into it 102o30′ degrees =! At 7:30 is 45 deg security check to access the result will be gained in ( 60/55. The two angles is the employer 's chance to tell you why you work! Angle traced by the hour hand and minute hand will be gained in ( ( 60/55 ) x )! 360 degrees be 165° rotation in 60 minutes, hour hand 12-hour clock... ) formed between the minute hand, one minute equates to 6 degrees simple: tenure... – more have. H + 3 ) the difference between two angles with respect to 12:00 both the hands of clock. To clarify: the angle between them is ( 4 x 30° ) = 120° is ( 4 x ).: = 30, then the result will be 60 - 5 = 55.! At 3:30 the minutes hand is halfway to the next hour to solve problems. Another ( 30÷60 ) ×30= 15° total angle between them is ( 4 x 30° =! Large intermediate angle is 10.61, we need to print 10 hour minute... '' and logo are registered trademarks of Glassdoor, Inc. `` Glassdoor '' and logo registered... Have to find a smaller angle ( in 60 minutes, hour hand at 7:30 is 45.. A number between 720 and 1080. print 10 minute it will travel another 30÷60.

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