Question

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

Answer 1

The radian measure of 205 degees is $\frac{ 41 \pi }{36}$ radians

Solution:

Given that we have to express 205 degrees as radian

To convert from degrees to radians use the following:

$x^{\circ} \times \frac{ \pi}{180}$

where x is the value in degrees to be converted

Here, x = 205 degrees

Substituting we get,

$\rightarrow 205 \times \frac{ \pi }{180}\\\\\rightarrow 41 \times \frac{ \pi }{36}\\\\\rightarrow \frac{41 \pi}{36}$

Thus the radian measure of 205 degees is $\frac{ 41 \pi }{36}$ radians