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

How many radians are in a three-quarter rotation around a circle, or 270°?-example-1
User Pablorsk
by
8.3k points

2 Answers

2 votes

Answer:


(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)


User Tayla
by
8.0k points
5 votes

Answer:

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

User Rashmatash
by
8.1k points

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