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OpenStudy (lovelycharm):
The tip of a 12-inch wiper blade wipes a path that is 30 inches long. What is the angle of rotation of the blade in radians to the nearest tenth?
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OpenStudy (retireed):
Calculate the circumference of the circle.
Calculate the ratio of the arc sweep of the circle in radians.
OpenStudy (lovelycharm):
so you calculate both number
OpenStudy (retireed):
The circumference is C = 2 (pi) r or 24 pi
OpenStudy (retireed):
The arc sweep is 30 inches
OpenStudy (retireed):
The ratio is 30 inches / 24 pi = 30 / 75.398 = 0.3979ths of the circle
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OpenStudy (lovelycharm):
so you round of right
OpenStudy (retireed):
I round just for typing, I usually carry it all on the calculator....
Convert 0.3979 of a circle to radians
OpenStudy (lovelycharm):
Okay thank you so it would be 0.4
OpenStudy (retireed):
No you need to express 0.3979 of a circle in radians
OpenStudy (lovelycharm):
i got it 1.3
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OpenStudy (retireed):
A circle is 2 pi radians so 0.3978 * 2 is 0.796 pi
I don't like working in radians since I have never been very good at it.
OpenStudy (retireed):
I got you as close as I can figure out, sorry.
OpenStudy (lovelycharm):
it okay thank you
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