• Jul 30th 2008, 02:07 AM
reneelyn
how to use it? can you explain by using examples?
i know a formula related to radian : s= r(theta)
why it is better to use the formula to find length of arc rather than formula : (angle at the center)/360 times circumference ?
(Thinking)
• Jul 30th 2008, 02:43 AM
CaptainBlack
Quote:

Originally Posted by reneelyn
how to use it? can you explain by using examples?
i know a formula related to radian : s= r(theta)
why it is better to use the formula to find length of arc rather than formula : (angle at the center)/360 times circumference ?
(Thinking)

Radians measure angles. The measure is the length of the arc of a unit circle subtended by the angle at the centre of the circle.

It is a better measure than degrees for many purposes because it is a natural unit (unlike the degree which is a 90-th part of a right angle). Which results in better properties for trig (and related) functions when expressed in radians compared to when expressed in degrees.

RonL
• Jul 30th 2008, 04:57 AM
Quick
Quote:

Originally Posted by reneelyn
Radians are a different way to measure degrees, instead of a right angle being $90^o$ in radians it's $\frac{\pi}{2}$