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Convert 210° to radian measure in terms of pi​

1 Answer

5 votes

Answer:


210^\circ = (7)/(6)\pi

Explanation:

Given


\theta = 210^\circ

Required

Convert to radians

To convert to radians, we make use of:


Radians = \theta * (\pi)/(180^\circ)

Substitute:
\theta = 210^\circ


Radians = 210^\circ* (\pi)/(180^\circ)


Radians = (210^\circ* \pi)/(180^\circ)

Simplify fraction


Radians = (7\pi)/(6)


Radians = (7)/(6)\pi

Hence:


210^\circ = (7)/(6)\pi

User Dunbar
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