Question

325 degrees to radians in terms of pi

Answer 1

`\begin{array}{ccll} degrees&radians\\ \cline{1-2} 180 & \pi \\ 325& r \end{array} \implies \cfrac{180}{325}~~=~~\cfrac{\pi }{r} \\\\\\ \cfrac{ 36 }{ 65 } ~~=~~ \cfrac{ \pi }{ r }\implies 36r=65\pi \implies r=\cfrac{65\pi }{36}`

Answer 2

`(65\pi)/(36)`

Explanation:

To convert 325° to radians in terms of π, we can use the conversion ratio:

`(2\pi)/(360\°)`

Multiplying 325° by the conversion ratio:

`325\° \cdot (2\pi)/(360\°)`

↓ multiplying the numerators

`(650\pi\°)/(360\°)`

↓ canceling degree signs

`(650\pi)/(360)`

↓ simplifying the fraction

`\boxed{(65\pi)/(36)}`