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

Question

anonymous · Answer

@dan815

anonymous · Answer

a: (272)(pi) / 45
b: (45)(pi) / 272
c: 1088(pi)
d: 544(pi)

anonymous · Answer

@Jhannybean

jhannybean · Answer

Let's say arc length = L. Then $$L=r\theta$$You need to change the angle of rotation to radians, and to do that, you solve for: $$\theta = 60^\circ\cdot \frac{\pi}{180^\circ}$$Plug in all your values and solve for $L$

anonymous · Answer

im confused

jhannybean · Answer

What part are you confused with?

anonymous · Answer

i dont understand how to change into radians, and/or eventually get the answer

jhannybean · Answer

|dw:1428870366802:dw| You've learned that arc length = radius * angle measurement right? That is equivalent of saying $$s=r\theta$$Instead of $s$ I'm using $L$ for length.

jhannybean · Answer

The formula to convert from radian to degrees and degrees to radians is:  $\dfrac{ 180^\circ}{\pi}$
To change a degree to a radian, or vise versa, all you have to do is know what you want to convert to. If you want to convert to radians, $\pi$ will be on top. If you're given a radian measurement and want to convert to a degree measurement, put $180^\circ$ on top.

anonymous · Answer

oohk okaay, then how do you finish it?

jhannybean · Answer

In this case, we want to convert to radians. Therefore we keep $\pi$ on top. $$68^\circ \cdot \frac{\pi}{180^\circ}$$This cancels out the degrees and leaves us in radians.

jhannybean · Answer

Calculate $$L=16~cm \cdot \left(\frac{60^\circ}{180^\circ} \cdot \pi\right)$$ and you'll have your answer.

jhannybean · Answer

I will not solve it for you.

anonymous · Answer

i got 16(pi)/3

anonymous · Answer

nvm i got A: 272(pi) / 45