2006-08-06 17:41:54 · 10 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
cos phi = ( a . b ) / |a||b|)
phi angle between the vecors a,b , a.b innerproduct, |.| norm
2006-08-06 18:29:03 · answer #1 · answered by gjmb1960 7 · 0⤊ 0⤋
A "Degree" by definition, would be the area of space between two points (such as α to β ) upon an "arch" which constitutes an "area of a circle". An entire "circle" consists of 360 "degrees"...and if you take an area of that circle which would constitute an "arch" within that circle, depending upon the distance between the two extremes of that arch is also the deciding factor of how many "degrees" are within that arch. At the "center" of a complete "circle" marks "α". A "line" drawn from point "α" to points "β" and "γ "....the area of distance between "β" and "γ" determines the amount of "degrees". Degrees were actually first established as a means of measurement of both distance and time. Such as the Hebrew "calander" has 12 months with 30 days in each month...so that in 12 months there are 360 days which correspond with the 360 degrees of the circle (completion) which constitutes the Hebrew year. But since it requires 365+ days to actually complete a "Solar" year, the Hebrews had to "add" an additional "Adar" (12th month)...making 13 months, once every 7 years to compensate for the lost "time". But it remains a fact, that a "degree" is a unit of measurement based upon both "time and distance" which constitutes 1/360th of a circle. Therefore the best DEFINITION for a "DEGREE" would be to say : " 1/360th of a circle ".
2006-08-06 18:20:31 · answer #2 · answered by LARRY M 3 · 0⤊ 0⤋
There are so many definitions for it:
1. 1/360 of a circle. When used in geographic coordinates, degrees are measured from the Equator and the Prime Meridian, going North, South, East and West. Degrees are further divided into minutes and seconds, or may be expressed in decimal degrees. Degrees are usually represented by the degree symbol (°).
2. One 360th of a circle. One 90th of a right angle.
2006-08-06 17:47:40 · answer #3 · answered by Anonymous · 0⤊ 0⤋
A degree is the 1/180th part of the angle measurement subtended by the two ends of the diameter of the circle on its centre.
2006-08-06 19:31:44 · answer #4 · answered by Anonymous · 0⤊ 0⤋
a degree is one of the units of measurement used to measure the arclength of a circle. A cirlce comprises of 360 degrees.
2006-08-06 18:38:20 · answer #5 · answered by ? 5 · 0⤊ 0⤋
to know that you should first know radian.
one raidan is the angle of an arc with a unit value in a circle with same radius (as the value of arc). in other words, one radian is the angle made at the centre when the length of arc is same as the length of radius of a circle.
one degree is pi divided by 180.
2006-08-06 18:11:32 · answer #6 · answered by buddy2smartass 2 · 0⤊ 0⤋
1/360 th of a circle
2006-08-06 17:45:38 · answer #7 · answered by Black Fedora 6 · 0⤊ 0⤋
1/360's of a circle
2006-08-06 17:46:13 · answer #8 · answered by Dagblastit 4 · 0⤊ 0⤋
Defination of a degree
Click on the URL below for additional information
en.wikipedia.org/wiki/Degree_(angle
math.rice.edu/~pcmi/sphere/drg_txt.html
2006-08-06 20:00:30 · answer #9 · answered by SAMUEL D 7 · 0⤊ 0⤋
a form of measurement to decipher the change in angles
2006-08-06 17:53:07 · answer #10 · answered by scottwatras 2 · 0⤊ 0⤋