VCE Stuff > VCE Specialist Mathematics

Circular function - arc length question

(1/1)

gta007:
Hi guys/gals.

Another question that has had me stumped for quite a while:

A curve on a light rail track is an arc of length 300m and the straight line joining the two ends of the curve is 270m long.

a) Show that, if the arc subtends an angle of 2Θ, at the centre of the circle, Θ is a solution of the equation sinΘ = πΘ/200

I know that the formula from the arc length formula, that the arc length = radius x angle, so from there I got the radius as 150/Θ.
I then drew a perpendicular line so that another side is 270/2 = 135, and having just the angle as Θ, however that got me no where.

BTW.....sorry that I've been asking so many questions of late, but I've been thinking about this question for a quite long time now.  :-[

Ahmad:
http://vcenotes.com/forum/index.php/topic,2171.0.html

gta007:
LOL I was wasting all my time trying to figure out how to do the question, when I could've just looked on the forum.  ::)

Thanks for the heads up, Ahmad. Very quick response, too!  :)

Ahmad:
No problem, it would've been pretty hard to find considering it was posted as an image :P

Navigation

[0] Message Index