Answer:
r = 10 mm
Step-by-step explanation:
Formula of a quater circle perimeter: P = ( [tex]\frac{\pi }{2}[/tex] + 2 )r
You substitute the given perimeter then you'll have something that looks like this : 35.7 = ([tex]\frac{\pi }{2}[/tex]+2)r
Then you divide both sides by ([tex]\frac{\pi }{2}[/tex]+2) to get the answer