The distance that the tip of the bat travels is equal to the length of the arc that it sweeps out as it rotates. The formula for the arc length of a circle is:
arc length = (angle in degrees / 360) x (2 x pi x radius)
In this case, the angle is 265 degrees, the radius is 26 inches, and pi is approximately 3.14. Plugging in these values, we get:
arc length = (265 / 360) x (2 x 3.14 x 26)
arc length = 0.7361 x 163.68
arc length = 120.34 inches
Rounding to the nearest inch, the distance the tip of the bat travels is approximately 120 inches.