Find the circumference of the circle:
2 x pi x r = 2 x pi x 9 = 56.5714 cm
A quadrant is 1/4 of a full circle.
Find 1/4 of the circumference:
56.5714/4 = 14.1429
Now add two radius to that to get the perimeter:
14.1429 + 9 + 9 = 32.1429 cm
Round the answer as needed.