9514 1404 393
Answer:
8.80 cm
Explanation:
The ratio of the given angle to 360° will be the same as the ratio of the arc length to the total circumference.
260/360 = (39.95 cm)/(2πr)
Multiplying by 18r/13, we get ...
r = (39.95 cm)(9/(13π)) ≈ 8.80 cm
The radius is about 8.80 cm.