Question

What is the radian measure of 205°? Express your answer as a fraction.

Answer 1

The radian measure of 205 degees is
`( 41 \pi )/(36)` radians

Solution:

Given that we have to express 205 degrees as radian

To convert from degrees to radians use the following:

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

where x is the value in degrees to be converted

Here, x = 205 degrees

Substituting we get,

`\rightarrow 205 * ( \pi )/(180)\\\\\rightarrow 41 * ( \pi )/(36)\\\\\rightarrow (41 \pi)/(36)`

Thus the radian measure of 205 degees is
`( 41 \pi )/(36)` radians