9514 1404 393
Answer:
20.9 inches
Explanation:
The perimeter length is the sum of the lengths of the two straight edges and that of the curved edge.
P = r + r + rα . . . . . where α is the central angle in radians
35° is (35°/180°)π radians, about 0.6109 radians
Then the perimeter is ...
P = r(2 +α) = (8 in)(2 +0.6109) ≈ 20.9 in
The perimeter of the slice is about 20.9 inches.