Using the length of the perimeter of the Pacman is: 29.29 mm.
Length of an arc = ∅/360 × 2πr
The length of the perimeter of the Pacman = length of the larger arc formed + 2r
∅ = 360 - 55 = 305°
r = 4.00 mm
The length of the perimeter of the Pacman = ∅/360 × 2πr + 2r
Substitute
The length of the perimeter of the Pacman = 305/360 × 2π(4.00) + 2(4.00)
The length of the perimeter of the Pacman = 21.29 + 8.00
The length of the perimeter of the Pacman = 29.29 mm
Therefore, using the length of the perimeter of the Pacman is: 29.29 mm.
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