Siyonnapitts4 Siyonnapitts4
  • 07-05-2021
  • Mathematics
contestada

14.13
8) Find the area of the shaded region. (use II =
3.14)
28 cm
8 cm
16 cm

1413 8 Find the area of the shaded region use II 314 28 cm 8 cm 16 cm class=

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sqdancefan
sqdancefan sqdancefan
  • 07-05-2021

9514 1404 393

Answer:

  397.76 cm^2

Step-by-step explanation:

The area of the shaded region is the rectangle area less the area of the circle with diameter 8 cm. The area of the rectangle is

  A = LW . . . . for length L and width W

The area of the circle is ...

  A = π/4d^2 . . . . . for diameter d

Then the shaded area is ...

  A = (28 cm)(16 cm) - (π/4)(8 cm)^2 = 448 cm^2 -50.24 cm^2

  A = 397.76 cm^2

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