Answer:
Perimeter of the sector = (36 + 8π) cm.
Step-by-step explanation:
Formula to find the of an arc of the circle is,
Length of the arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]
Here, θ = central angle formed by the arc
r = radius of the circle
Therefore, length of the arc given in the picture = [tex]\frac{80}{360}(2\pi) (18)[/tex]
= 8π cm
Perimeter of the sector = Sum of all sides of the sector
= Length of radius + length of the arc + length of radius
= 18 + 8π + 18
= (36 + 8π) cm
Perimeter of the sector is (36 + 8π) cm.
