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I have recently been studying for my upcoming exams. I am stuck on the following problem involving radians. Here is the diagram for it.

Where PQ = the radius of the circle

I need to find x in as a percentage in terms of h

My working for this problem is as follows

in a circle there is 2pi radians, therefore in half a cirlce there is pi radians, which means for that for pi radians the pistion moves for the high position to the low posotion.

I then calculated the remainder of the angle in half a circle to determine how much the piston had moved, which resulted in being 2.1416 radians.

I then calculated this as a percentage by dividing it by pi and multiply it by 100, which gave me an answer of 68% (correct to one decimal place)

Form here I took that value, 68% from 100% which gave me an answer as being 32% which I assumed as being the value for x.

However I checked the answer in the back of the book and it said 17%.

Could someone please tell me where I have gone wrong? Or if the answer in the book is wrong?

Thanks in advance,

Pavadrin

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# Homework Help: Radian measure

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