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How do you convert 30 degrees into radians?

Answer
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Hint: Here, this question belongs to a conversion topic that is we have to convert the unit from one form to another. Here we have to convert the unit degrees to the unit radians as we know that the Radians and degrees are units of angle. To solve this, we have to multiply π180 to the given degrees of angle and simplify to get the required solution.


Complete step by step solution:
Conversion of Units is a multi-step process that converts units of measurement for the same quantity. It includes division or multiplication by a numerical factor or rounding off the significant digits.
 Radian and Degrees are both units of measurement of the angle.
The radian is a unit of angular measure defined such that an angle of one radian subtended from the centre of a unit circle produces an arc with arc length 1. A full angle is therefore 2πradians, so there are 3600 per 2πradians, equal to 1800π or 57.295779510. i.e., πc radians are equal to 1800 degrees.
To convert from degree to radian we multiply the angle by: π180.
To convert from radian to degree we multiply the angle by: 180π.
Now, consider the given question, we have to convert 30 degrees to radians.
To convert this, multiply by π180 to the given degrees of angle i.e.,
30×π180
30π180
π6 radians.
Hence, 30 degrees = π6 radians.

Note:
We have different units for solid quantity, liquid quantity and gaseous quantity. Every quantity has a measurement unit from the low quantity to the high quantity. While converting the unit of a quantity from one form to another form we have a standard value. By multiplying or dividing we can convert the unit of the quantity. We have a different system of measurement of a quantity.
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