Answer: 94.9cm
Explanation:
Perimeter of inside arc
π x 2r = π x 30 = 94.248
94.248 x (113/360) = 94.248 x 0.3139... = 29.5834 ≈ 29.6cm
Perimeter of outer arc
π x 2r = π x 48 = 150.796
150.796 x (113/360) = 150.796 x 0.3139... = 47.3332 ≈ 47.3cm
Length of both LN and KM
24 - 15 = 9cm x 2 = 18cm
Total perimeter
29.6cm + 47.3cm + 18cm = 94.9cm