Respuesta :

Option C:

Perimeter of the [tex]\frac{1}{4}[/tex] of a circle = 10.71 cm

Solution:

Given figure is  [tex]\frac{1}{4}[/tex] of a circle.

It is a quarter of a circle.

Radius = 3 cm, Value of π = 3.14

To find the perimeter of the quarter of a circle.

Perimeter of the quarter of a circle formula: [tex]$\frac{\pi r}{2}+2r[/tex]

[tex]$\text {Perimeter} =\frac{\pi r}{2}+2r$[/tex]

               [tex]$=\frac{3.14\times3}{2}+2\times3$[/tex]

               [tex]=4.71+6[/tex]

               [tex]=10.71[/tex]

Perimeter of the quarter of a circle = 10.71 cm

Option C: 10.7 is the correct answer.

Hence perimeter of the [tex]\frac{1}{4}[/tex] of a circle is 10.71 cm.

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