Answer:
14.1 in
Step-by-step explanation:
The equation relating the length of arc, radius of circle and angle is:
S = rθ
where:
S is the length of the arc
r is the radius of the circle = 6 in
θ is the angle in radians = 135 degrees = (135*π) / 180 = 0.75 π radian
Substitute with the givens in the above equation to get the length of the arc as follows:
S = rθ
S = 6 * 0.75π
S = (9/2) π which is approximately 14.1in
Hope this helps :)