Question

How many radians are in a three-quarter rotation around a circle, or 270°?

Answer 1

`(3\pi )/(2)`

Explanation:

To convert from degree to radian measure

radian = degree measure ×
`(\pi )/(180)`

for 270°, then

radian = 270 ×
`(\pi )/(180)` (cancel 270/180 by 90 )

=
`(3\pi )/(2)`

Answer 2

B) 3π/2

Explanation:

To convert degrees to radians, we have to multiply the degrees by π/180

Given: 270 degrees

That is three-quarter rotation around a circle.

Now we have to convert 270 degrees to radians.

Multiply 270 by π/180

= 270 * π/180

Simplifying the above, we get

= 3π/2 radians

Answer is B) 3π / 2 radians

Hope you will understand the concept