Question

the angle 55° in radians is k π/36°. The value of k is​

Answer 1

$\large\underline{\sf{Solution-}}$

It is given that

$\sf \:55 \degree = \dfrac{k\pi}{36\degree}$

We know

$\sf \:\pi \: = \: 180\degree$

So,

$\sf \:55 \degree = \dfrac{k \times 180\degree}{36\degree}$

$\sf \:55 \degree = k \times 5\degree$

$\sf \:k = 11$