Question

What is the equivalent radian measure of 540°?

Answer 1

It is

`3\pi`
The rule is simple :

`2\pi \: \text{rad} \: = 360 \: \text{degrees}`
Then you play with the number you seek.

Answer 2

`3\pi`

Explanation:

We are asked to find the equivalent radian measure of
`540^(\circ)`.

We will use formula
`1^(\circ)=(\pi)/(180^(\circ))`.

We will multiply 540 degrees by
`(\pi)/(180^(\circ))` to convert it in radians.

`(\pi)/(180^(\circ))* 540^(\circ)`

`(\pi)/(1)* 3`

`3\pi`

Therefore,
`3\pi` radians is equivalent measure to 540 degrees.