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

Answer:
B) 3π/2
Step-by-step 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
Answer:
[tex]\frac{3\pi }{2}[/tex]
Step-by-step explanation:
To convert from degree to radian measure
radian = degree measure × [tex]\frac{\pi }{180}[/tex]
for 270°, then
radian = 270 × [tex]\frac{\pi }{180}[/tex] (cancel 270/180 by 90 )
= [tex]\frac{3\pi }{2}[/tex]