Question

Can anyone please help me with this attachment?

Answer 1

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 = $\frac{\theta}{360}(2\pi r)$

Here, θ = central angle formed by the arc

r = radius of the circle

Therefore, length of the arc given in the picture = $\frac{80}{360}(2\pi) (18)$

                                                                                = 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.