Question

Convert the degree measurement to radians Express answer multiples of Pi 126°

Answer 1

we know that there are 180° in π radians, so how many radians are there in 126°?

$\bf \begin{array}{ccll} degrees&radians\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 180&\pi \\ 126&x \end{array}\implies \cfrac{180}{126}=\cfrac{\pi }{x}\implies x=\cfrac{126\pi }{180}\implies \stackrel{simplified}{x=\cfrac{7\pi }{10}}$