lamarrrrr lamarrrrr
  • 14-03-2021
  • Mathematics
contestada

5. Alex mounts the clock on a wood
base with the shape shown at the
right. What is the area of the wood
base?

5 Alex mounts the clock on a wood base with the shape shown at the right What is the area of the wood base class=

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sqdancefan
sqdancefan sqdancefan
  • 14-03-2021

9514 1404 393

Answer:

  487.2 in²

Step-by-step explanation:

The area of the semicircle is ...

  A = (1/2)πr² . . . . . where r is half the diameter

  A = (1/2)π(9 in)² = 40.5π in² ≈ 127.2 in²

The area of the rectangle is ...

  A = bh

  A = (18 in)(20 in) = 360 in²

Then the total area is ...

  total area = semicircle area + rectangle area

  = 127.2 in² +360 in² = 487.2 in² . . . . . area of the wood base

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