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The radius of the circle with a central angle of http://webwork.mathstat.concordia.ca...219fe87b11.png that intercepts an arc with length 9 miles is miles.
I came up with 2.02 miles
or 12.7 miles both seem wrong
but then if the formula is S=r(theta) and I would get 9=r(255) r=9/255 r=.035?
I am just not sure what to do?
$\displaystyle s = r\theta$ is only valid if $\displaystyle \theta$ is in radians
can't I convert it by multiplying (pi/180)
So it would be 255(pi/180)= 4.45 radians
yes
which would then be 9/4.45=2.02 miles as my radius
"seem wrong" now?Quote:
Originally Posted by M670
I really can't see my mistake... in this questionQuote:
Originally Posted by skeeter
The process looks good to me, I convert 255 degrees into radians then use the formula to derive 2.02 miles as my radius
I think people who still use degrees, get what they deserve.Quote:
Originally Posted by M670
Let $\displaystyle \theta=255\cdot\frac{\pi}{180}$ then $\displaystyle r=\frac{9}{\theta}$.
You should get $\displaystyle 2.02220398281467$.
