9514 1404 393
Answer:
19.0 cm
Step-by-step explanation:
The length of each arc is given by ...
s = rθ
where r is the radius of the arc, and θ is its central angle in radians.
The sum of the two arc lengths is ...
s1 +s2 = (8 -4.5)(50(π/180)) +(8)(50(π/180)) = (16 -4.5)(5π/18) ≈ 10.0356
The sum of the two straight sides is ...
2·4.5 = 9.000
So, the perimeter is ...
P = arc lengths + straight sides = 10.0356 cm + 9.0000 cm ≈ 19.0 cm
