Posted by **Mercaedees** on Wednesday, December 12, 2007 at 5:34pm.

FInd the arc length intercepted by a central angle of 46 degrees 24'6" in a circle with a radius of 35.62m

- Trigonometry -
**Damon**, Wednesday, December 12, 2007 at 5:44pm
The total circumference of the circle is 2 pi R = 2 pi *35.62 = 223.8 meters

I kept five significant figures because the original radius had five.

Now how much of that circumference are we interested in?

fraction = 46 deg 24 min 6 sec / 360 degrees

we need to put that all in degrees

46 + 24/60 + 6/3600 = 46+.4+.0017

= 46.40 degrees out of total 360

so

we have

(46.40/360)223.8 = 28.85 meters

- Trigonometry -
**Damon**, Wednesday, December 12, 2007 at 5:46pm
Typo - I kept four significant figures because the original radius had four.

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