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You are watching: A circle is how many degrees

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CategoriesNooks and cranniesYesteryearSemantic enigmasThe human body beautifulRed tape, white liesSpeculative scienceThis sceptred isleRoot of all evilEthical conundrumsThis sporting lifeStage and also screenBirds and also the bees dangerous SCIENCEWhy has actually geometry not been \"metricked\"? Why 360 levels intstead the 1, 10, 100 or also 1000?David Hughes, Toronto, Canada since one the the crucial varibales in geometry is the number three. Because that example, 3 being a aspect of 180 method that an equilateral triangle has angles the 60 degrees. What would certainly their angles be in a metric system? Peter Brooke, through Kinmuck Scotland It has actually been; there is the unit dubbed the Grad of i m sorry 100 is a right angle (90 standard degrees, or pi/2 radians). It source in France as the \"grade\" in addition to other metric units. I only understand of the French pho actually utilizing it. Andrew Walker, Leicester, England In fact levels have been \"metricated\", in engineering angles are regularly measured in radians, by which the one of a circle is expressed together 2Π Radians. Angular measurement in levels or radians is provided in referral to a circle, 360 levels or 2 Pi radians being the measure up one complete revolution. If us were to divide a circle right into anything various other than 360 deg we would have to change our calendars too - the old Greeks settled that there to be 360 days in the year, and that, therefore, us progress around the sun at one degree per work - they were quite close offered that they operated on monitoring alone! Peter Clark, Cambridge, UK The degree is an arbitrarily unit; usually any division of a circle would work as a device of measurement. The degree has the advantage that 360 divides evenly by 2, 3, 4, 5, 6, 8, 9 & 10 do it basic to mentally calculation an angle; undoubtedly this is the significant advantage of all old imperial units.There is a more an essential unit contact the Radian. This is the edge subtended by one arc of a circle same in size to its radius. Because the one of a one is 2 x pi x radius one there are 2 pi, or 6.283, Radians in a circle. This is fine for calculations on angular motion but daunting to occupational out in her head. Beam Gallagher, Belfast, northern Ireland us inherited 360 levels from the Babylonians, yet many ancient societies were highly interested in astronomy and in part (megalithic Britain?) had 366 degrees in a circle. This is logical, since the earth turns top top its axis 366 times a year. Their dimensions seem to have actually been interrelated and also not arbitrary as a metrically divided circle would be. The Babylonians probably lessened this to 360 together it divides for this reason much much more easily by countless factors. Vivienne, London UK when working on an archaeological dig close to Rome, ns was once provided a theodolite to set up. After part time struggling to obtain it to work, i noticed the the scale on i beg your pardon horizontal angles were measured read 400 levels rather 보다 360. My supervisor called me the this was and also old piece of equipment, once component of an attempt to metricise the circle. I\"m not certain whether this was purely one Italian plan or not! kris Lyes, Hungerford, UK The Babylonians offered us the 360-degree circle. That number transforms out to it is in the the smallest one who quotient is an integer when separated by any kind of whole number indigenous 1 v 10 (except because that 7, which may have added to seven\"s stature as a \"magic number\". I\"ve heard that (at the very least in the U.S. Military), artillery batteries use a 1000-degree circle for much more accuracy, so -- if true -- at least that\"s a start. Tom Amies, Vancouver, Washington USA Both Babylonians and also Chinese supplied sexagesimal device which way they had actually 59 numbers rather 보다 9 (zero was invented much later). Although lock did have actually a figure for 10 so your number 11 to be still written as figure of 10 next to number of 1. The beginning of this is not known for sure although they to be obviously affected by astronomy and the reality that there space (almost) 360 work in a year. They additionally came up with sixty minute in the hour, 24 hours a day. This is only one more example of the slipping of institution standards that we just expect school youngsters to only understand 9 numbers (and zero) Kamyar, Samos Greece because you typically want to understand how much round the circle friend are, and also you deserve to divide 360 right into many an ext useful fractions. Indeed, the unit favoured by mathematicians isn\"t the degree but the radian. Twice pi (6.2831853...) radians equals 360 degrees. So quite than 90 degrees you say \"pi-over-two radians.\" Jonathan S., Hereford England The gradian, grade, grad or gon is a metric angular unit arisen in post-revolutionary France as component of the metric mechanism (along v 10 work weeks, 10 hour days, 100 minute hours and also 100 second minutes). There are 100 grads in a ideal angle, or 400 grads in 360 degrees It is tho in use by the French military and also pocket calculators have actually degree, radian, and gradian settings for trigonometric functions. Note Manzocchi, Aberdeen, UK Grads are provided to a tiny extent in France and elsewhere. There are 100 grads to the best angle, 400 to the complete circle. The calculator accessory that comes v the home windows operating system enables you to select working in grads rather than degrees or radians. Nick Rouse, Plumpton environment-friendly UK Whilst mathematicians room happy v degrees, or more usually radians as the maths gets more advanced, others have indeed break-up angles right into 100. The gradian or grad is the unit of measurement i m sorry is acquired by separating a ideal angle (90 degrees) right into 100 parts. The military have actually a fondness for this kind of angle measurement and also it is basic to obtain a compass collection up this way. Ns imagine there space others in use - after all the 360 levels is completely arbitrary and also a historical left end from the Babylonian sexagesimal count system, rather than a intentional choice. Hayden Rissbrook, Walthamstow, UK Whilst mathematicians room happy through degrees, or an ext usually gradians, as the maths gets much more advanced, others have indeed break-up angles right into 100. The gradian or grad is the unit that measurement i m sorry is acquired by dividing a ideal angle (90 degrees) into 100 parts. The military have actually a fondness because that this form of edge measurement and also it is straightforward to acquire a compass collection up this way. Ns imagine there room others in use, afterall the 360 degrees is purely arbitrary and also a historic left end from the Babylonian sexagesimal count system, rather than a intentional choice. Hayden Rissbrook, Walthamstow, UK 360 has actually many more divisors 보다 10, 100, 1000 etc. As such a circle can be divided more easily into many diferent equal components - 2,3,4,5,6,8,9,10...... Try doing that v 100 or 1000. Lewis, London, UK The usage of 400 gon instead of 360 levels can additionally be uncovered in floor surveying together well. Part theodolites will have the option of degrees or gon and also many that were do in the previous eastern block offered this system. Hamish, Ipswich, UK include your answer