#### Answer

34 in

#### Work Step by Step

Given radius = 10 in
Length of the arc AB = 14 in
If a sector is bounded by two radii and an arc, the perimeter of a sector is the sum of the lengths of the two radii and the length of its arc.
P (sector) = 2r + l(AB)
= 2 * 10 + 14 in
= 20 + 14
= 34 in