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What is 4pi in degrees?

Answer
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Hint: For solving this type of question you should know about the converting radians to degrees, and it is done by multiplying the radian value by 180π. Pi radians are equal to 180 degrees. And one radian is equal to 57.295779513 degrees. Since we know that a circle contains 360 and a pi is equal to 180. So, a circle is of 2π radian value.
According to the question we have to calculate the value of 4π in degrees.

Complete step by step answer:
Here, if we see then one radian contains 180 and that is equal to half circle’s angle.
So, for making a complete circle it is necessary to be 2π radians.
Generally, one radian is the angle which is made at the centre of the circle by an arc whose length is always equal to the radius of the circle.
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It is shown in the figure that one radian has all the same measurements as radius and arc. The radian is a unit for measuring of the angles which is used mainly in trigonometry. If we take any full circle then it contains more than 6 radians.
For calculating this:
as we know that 1πC=180
To convert radian into degrees, we will multiply by 180π.
So, 4πC=(4π×180π)
       4πC=(4×180)4πC=720
So, the degree value of 4π radian is 720.

Note: As seen in the figure above a radian is defined by an arc of a circle. And the length of the arc is always equal to the radius of the circle. Because there is a fixed size of radius for every circle so the radian also has a fixed value. Thus, you can convert the radian into degrees and also you can calculate degrees into radian.
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