Question

Using complete sentences, define and compare radian measure to degree measure. In doing so, be sure to answer each of the following questions:

Answer 1

When would degree measure be appropriate?
When would radians be a better choice?
What are the pros and cons of each?

Answer 2

@ganeshie8

Answer 3

It sounds like you have to write an essay. Did you write anything?

Answer 4

well i only wrote what i know. it only has to be 4-5 sentences. i wrote already "Radians are a unit of measure used in a circle to relate the sector angle to the sector " because its the only thing i know lol this is a foreign language"

Answer 5

im not looking for the answer to be handed to me id like to learn this.. its just hard to retain it for some reason.

Answer 6

what can you say about degrees?

Answer 7

I would get some ideas from
http://www.mathsisfun.com/geometry/degrees.html

Answer 8

from that site, we get
Why 360 degrees? Probably because old calendars (such as the Persian Calendar) used 360 days for a year - when they watched the stars they saw them revolve around the North Star one degree per day.

Also 360 can be divided evenly by 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120 and 180, which makes a lot of basic geometry easier.

The part about 360 being evenly divisible by so many numbers makes it *easy to use*
so I would put that in your write-up

Answer 9

and the same site talks about radians
http://www.mathsisfun.com/geometry/radians.html

Answer 10

degree is the measurement of plane measurement. most of the time degrees are changed to the SImeasurement of radians

Answer 11

plane angle*

Answer 12

a radian is about 57º (but it's not exactly that, because its really 180/pi )
the bad thing is pi is irrational (goes on forever). a full circle as 2 pi radians, and because pi goes on forever, we really can't type out the *exact* radians in a circle

the good thing about radians is you can use it to find arc length
L= r theta
if theta is in radians

Answer 13

**degree is the measurement of plane measurement. ***

not very informative. We divide a circle into lots of little parts (just like a ruler)
how many tick marks should we use? People decided a long time ago to use 360, probably because it gives very accurate measurements, and 360 is a "nice" number.

(we could divide the circle into 400 parts. (i.e. 100 parts to a right angle). It's called a grad, but I don't think its very popular.

Answer 14

radians are defined (see the site link above) by laying a radius along the arc of the circle.
the angle that is "covered" is called a radian.