Question

Convert 153 degrees into radians to the nearest to decimals places

Answer 1

Since we know there are π radians in 180°, then how many radians are there in 153°?

$\bf \begin{array}{ccll} radians&de grees\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \pi &180\\ x&153 \end{array}\implies \cfrac{\pi }{x}=\cfrac{180}{153}\implies \cfrac{\pi \cdot 153}{180}=x\implies \stackrel{simplified}{\cfrac{17\pi }{20}}=x$