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At the farmer's market, there is a scale that measures the weight of fruit and vegetables. The needle is 16 cm long and rotated 68° when Danielle placed six oranges on it. How far did the needle travel as it rotated?

Sorry about the delay, but I haven't been able to access this account lately.

The needle is the radius of a circle.

The distance it rotates is a portion of the circumference.

Since there are 360° in a circle, multiply this by 68/360.

The answer is then found as 16*2π*(68/360).

That comes out somewhere below 20cm.

Do it yourself in Excel to get the real answer.

Doesn't that give you 18.98918226 (which is really 19cm)?

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I can answer any question in general math, arithetic, discret math, algebra, box problems, geometry, filling a tank with water, trigonometry, pre-calculus, linear algebra, complex mathematics, probability, statistics, and most of anything else that relates to math. I can also say that I broke 5 minutes for a mile, which is over 12 mph, but is that relevant?

Experience in the area; I have tutored people in the above areas of mathematics for over two years in AllExperts.com. I have tutored people here and there in mathematics since before I received a BS degree back in 1984. In just two more years, I received an MS degree as well, but more on that later.
I tutored at OSU in the math center for all six years I was there. Most students offering assistance were juniors, seniors, or graduate students. I was allowed to tutor as a freshman.
I tutored at Mathnasium for well over a year.
I worked at The Boeing Company for over 5 years.
I received an MS degreee in Mathematics from Oregon State Univeristy.
The classes I took were over 100 hours of upper division credits in mathematical courses such as
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I graduated with honors in both my BS and MS degrees.
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My master's paper was published in the OSU journal.
The subject of it was Numerical Analysis used in shock waves and rarefaction fans.
It dealt with discontinuities that arose over time.
They were solved using the Leap Frog method.
That method was used and improvements of it were shown.
The improvements were by Enquist-Osher, Godunov, and Lax-Wendroff.
**Education/Credentials**

Master of Science at OSU with high honors in mathematics.
Bachelor of Science at OSU with high honors in mathematical sciences.
This degree involved mathematics, statistics, and computer science.
I also took sophmore level physics and chemistry while I was attending college.
On the side I took raquetball, but that's still not relevant.
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I earned high honors in both my BS degree and MS degree from Oregon State.
I was in near the top in most of my classes. In several classes in mathematics, I was first.
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I graduated with well over 50 credits in upper division mathematics.
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and several people every day on the PC. I would guess that you are probably going to be one more.