Respuesta :

Circumference = 56.52

Length of the darkened part of the arc = 3.6π

Solution:

Radius of the circle = 9

Circumference of the circle = 2πr

                                              = 2 × π × 9

Circumference of the circle =  18π

Equal number of parts = 5

Total degree of circle = 360°

Degree of the darkened part = [tex]\frac{360^\circ}{5}= 72^\circ[/tex]

[tex]$\text {Arc length}=18 \pi \left(\frac{\theta}{360^\circ}\right)[/tex]

                [tex]$=18 \pi\left(\frac{72^\circ}{360^\circ}\right)[/tex]

                = 3.6π

Circumference = 18π

Length of the darkened part of the arc = 3.6π

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