If an object travels in a circle 32pi/5 radians, at what degree measure is it, relative to where it started?
a) 1052°
b) 144°
c) 72°
d) 98.6°
I got 1152° but there is no option for the answer, what did I wrong?
32/5 = 6 2/5
so we have gone 6 pi radians + 2/5 of a radian
but 6 pi radians is 3 whole circles
so we end up at (2/5)pi radian
(2/5)pi(180/pi) = 72 degrees
6 remainder 2
Tricky :)
Why is 32/5 = 6 2/5?
Jake, division
5 ( 6 + 2/5)/5 = (30 + 2)/5 = 32/5
Thank you~
the body breaks down both physically and?
Well mine is pretty cooked mentally.
To convert radians to degrees, you need to use the conversion factor that 1 radian is equal to 180/π (approximately 57.2958) degrees.
In this case, the object travels in a circle of 32π/5 radians. Using the conversion factor, the degree measure would be:
(32π/5) × (180/π) = 1152 degrees
Since 1152 degrees is not one of the given options, it seems that you cannot find a match for your answer. It's possible that there may be a mistake in the options provided or that there is another approach or requirement for the problem that is not mentioned. Double-check the question and options to see if any additional information or context was given.
32PI/5 rad* 180 deg/PI= 32/5*180=32*36
You are right.