Question

Convert 210° to radian measure in terms of pi​

Answer 1

`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`