Question

$x^o=\frac{\pi }{180}.x$ radian and $\text{x radian}=\frac{180}{\pi }\times x$ degree

• A. True
• B. False

Answer 1

The correct option is A

True

First we will express a known angle in degree and radian and equate both. For this you can consider any angles whose degree and radian measurements are known. For example, right-angle is ${90}^o$ and $\frac{\pi }{2}$ radian

$\Rightarrow {90}^o=\frac{\pi }{2}$ radian
$\to 1^o=\frac{\pi }{180}$ radian
$\Rightarrow x^o=x\times \frac{\pi }{180}$ radian.
To get the next relation,
$\frac{\pi }{2}\text{radian =}{90}^o$

$\text{1 radian}=\frac{{180}^o}{\pi }$
$\text{x radian}=\frac{180}{\pi }\times x$ degree