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  • 25-03-2021
  • Mathematics
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Find the perimeter of the shaded region. Round your answer to the nearest hundredth.

Find the perimeter of the shaded region Round your answer to the nearest hundredth class=

Respuesta :

Muscardinus Muscardinus
  • 30-03-2021

Answer:

59.16  units

Step-by-step explanation:

Given that,

The length of rectangle, L = 13

The breadth of the rectangle, B = 6

The perimeter of the shaded region = perimeter of rectangle - 2(perimeter of semicircle)

[tex]P=13\times 6-[2\times \dfrac{2\pi r}{2}]\\\\=78-2\pi r\\\\=78-2\times 3.14\times 3\\\\=59.16[/tex]

So, the perimeter of the shaded region is 59.16  units.

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