Question

Convert 4(pi)/3 to degrees.

A.) 60 degrees
B.) 120 degrees
C.) 240 degrees
D.) 480 degrees

Answer 1

So the correct answer is C.) 240 degrees

Explanation:

`4pi/3` =
`(4pi)/(3)` =
`(4 x 180)/(3)` = 4 x 60 = 240

Answer 2

Radian to degree conversion.
4(pi)/3 degrees= 4(pi)/3 × 180/pi radians

As pi radians= 180 degrees
Dividing both sides by pi :
pi / pi radian= 180/pi degrees
1 radian=180/pi degrees

4 × pi /3 × 180/ pi
pi and pi gets cancelled.
180/3= 60
4× 60
=240 degrees
Answer is option C.