Respuesta :

Answer:

[tex]\huge \boxed{\mathrm{99.98 \ cm}}[/tex]

Step-by-step explanation:

A quadrant is quarter of a circle.

The perimeter of a quarter of a circle is [tex]\frac{2\pi r}{4} +2r[/tex].

The radius [tex]r[/tex] is 28 cm.

[tex]\frac{2\pi (28)}{4} +2(28)= 99.982297...[/tex]

The perimeter of the quadrant with radius 28 cm is approximately 99.98 cm.

Answer:

[tex]\huge\boxed{Perimeter = 99.98\ cm}[/tex]

Step-by-step explanation:

Quadrant is one - fourth of a circle

Perimeter of quadrant = [tex]\frac{2\pi r }{4} + 2r[/tex]

Where r = 28 cm

=> P = [tex]\frac{2(3.14)(28)}{4} + 2(28)[/tex]

=> P = [tex](3.14)(14) + 56[/tex]

=> P = [tex]43.98 + 56[/tex]

=> P = 99.98 cm