Crazy Tattoos

What distance does the tip of the needle travel when it turns through 340 degrees?

the needle of the scale in the bulk food section of a supermarket is 28 centimeters long.

The needle will be considered as equivalent to the radius of the (assumed circular) scale, and not the diameter.

So in this question, the radius = 28 cm, and the tip of the needle is assumed to be 28 cm from the center of the circle (the circular scale).

Now, the tip would travel a distance equal to the circumference of the circle if it traveled all the way 360 degree. However, it travels only 340 degree. So, it travels 340/360 of the total circumference of the circle.

The circumference of this circle is 2*pi*radius = 2*(22/7)*28 = 176 cm.

Since the tip travels not full circumference but 340/360 portion of it, the distance traveled by tip is (340/360)*circumference of the circle = (340*360)*176 = 166.2 cm

That answers your question. Hope you also understood the underlying methodology of this question

Cheers

Tips and Tricks: 2 circs with interchangable needles

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