Could someone answer this math problem?

Question

The space needle in Seattle has a restaurant that offers views of Mount Rainer and Puget Sound.

The restaurant completes one full rotation in approximately 45 minutes. How many radians will

the restaurant have rotated in 25 minutes?

Answer 1

one full rotation is 360 degrees or 2pi radians

To figure out rotation in 25 minutes just solve the following proportion

(45min)/(2pi)= (25minutes)/x radians

45 x= 50 pi

x = 50/45 or 10pi radians/9

Answer 2