SOLUTION: radian measure of -545 degrees
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Question 473492: radian measure of -545 degrees
Found 4 solutions by richard1234, stanbon, Theo, lwsshak3:
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Simply do a unit conversion.
(\frac{\pi rad}{180 deg}) = -\frac{109}{36}\pi rad)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
radian measure of -545 degrees
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(-545)(pi/180) = -9.5120 degrees
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Cheers,
Stan H.
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Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
to convert degrees to radians, you need to multiply by pi/180.
to convert radians to degrees, you need to multiply by 180/pi.
-545 degrees is equivalent to -545*pi/180 = -3.027777778 * pi radians.
this would be equivalent to -9.512044423 radians.
pi is a constant that is equal to 3.141592654
an angle that an arc makes on a circle can be measured in degrees or in radians.
a whole circle is equal to 360 degrees.
a whole circle is equal to 2*pi radians.
an arc that covers half the circumference of a circle has a central angle of 180 degrees.
this is equivalent to pi radians.
if you want to find the length of an arc on a circle, you need to know the angle and you need to know the radius.
assume the radius is equal to 5 and the angle of the arc is equal to 90 degrees.
the length of the arc would be equal to (90/360)*2*pi*5.
this becomes (pi/2)*5.
if you know the measure of the angle in radians, then the formula to find the length of the arc is simpler.
a 90 degree angle is equivalent to an angle of (90/180) * pi = pi/2 radians.
the length of the arc would be equal to (pi/2)*5.
so, if the angle is expressed in degrees, then the length of the arc is given by the formula:
Length of Arc = (Angle/360) * 2 * pi * radius
and, if the angle is expressed in radians, then the length of the arc is given by the formula:
Length of Arc = Angle * radius.
Note that (Angle/360) * 2 * pi is equal to (Angle/180) * pi.
This is exactly the formula used to convert an angle expressed in degrees into an angle expressed in radians.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
radian measure of -545 degrees
-545º=-545*2π/360=-9.5120 radians
Its reference angle would be 5º or .0873 radians in quadrant II
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