Why is a full circle 360° degrees? - Mathematics Stack Exchange
网页Consequently, they divided the circular path into 360 degrees to track each day's passage of the Sun's whole journey. This probably happened about 2400 BC. That's how we got a 360 degree circle. Around 1500 BC, Egyptians divided the day into 24 hours, though the hours varied with the seasons originally. Greek astronomers made the hours equal.
Why do we have 360 degrees in a circle and why we need radians?
网页A circle is defined to have $360$ degrees. That number is convenient because it has many factors and can be divided easily without getting fractions. Radians are very useful when working with trigonometric functions.
Why are there 360 degrees in a circle? - Mathematics Stack …
网页2019年6月29日 · There are advantages to using a base-60 system. First, 60 (and 360) have lots of small divisors. Second, in the case of measuring angles, the special angles of 30-degrees and 60-degrees come out even. In the gradient system, the 30-degree angle is 33 33 1/3 1 / 3 (ick.) Share.
Why is a full turn of the circle 360°? Why not any other number?
网页2012年5月8日 · Around 4000 years ago the observers and mathematicians of that time started thinking of the Earth being a spherical mass which spins its own and revolves around the sun, they related the number 360 to a circle and and started to count a smaller portion of a circle to be one in 360 parts (called one degree). Thus the degree of a circle or the ...
Why are circles always 360 degrees? - Mathematics Stack Exchange
网页2014年12月26日 · $\begingroup$ Maybe there is also the nice issues that 360 divides wholly into 2,3,4,5,6, 12, etc., so that many "common" fractions of 360 are integers. BEtter than starting with, say, 353 degrees so that half a circle is 176.5, etc. $\endgroup$
trigonometry - How might one create a sine/cosine table for a …
网页Technically, you could take a normal value based on a 360 degree circle and divide that that by 1.40625, however that obviously wouldn't be very accurate or efficient. Especially considering you would still technically have 360 values. I need a table that has 256 values, not 360. That's the whole point. So yeah, my question is basically in the ...
geometry - Does the 1/360 of a circle have dimension?
网页2018年10月1日 · The answer depends on the units in which you measure a "circle". 1/360 1 / 360 of the area of a circle has units of area. 1/360 1 / 360 of a 360 360 degree angle has units of degrees. 1/360 1 / 360 of the circumference of a circle has units of length. Radian angle measure is dimensionless since it's the ratio of arclength to radius, so 1/360 1 ...
Calculate difference of two numbers on the 360 circle
网页2020年1月4日 · On 360 degree circle A = 355.5 degree B = 350 degrees #diff 5.5 C = 1 degree #diff 6.5 D = 320 degrees #diff 35.5 E = 348 degrees #diff 7.5 If the difference is less than 10 then it the correct answer. i.e. B, C, E. How to formulate this?
My teacher said that $2\\pi$ radians is not exactly $360^{\\circ}$?
网页Since no multiple of $\pi$ can be a whole number, $2\pi$ radians does not equal $2$ halves of the circle. This is clearly wrong because two halves make the whole circle. We define, though somewhat arbitrarily, that $1$ degree is just one 360-th of the total angle of the circle, i.e. $1^\circ =\frac{\text{total angle of circle}}{360}$.
Determine degree rotation in 3D space - Mathematics Stack …
网页2020年6月30日 · Rotation can be any value between 0 - 360 degrees. The start place can be anywhere on the 360 degree circle: The end can be anywhere on the 360 degree circle: The direction of rotation can be either "direction" on the circle and the plane the two lines are on can be oriented in any location in 3D space: My programming tools can give the angle ...