sb4762
sb4762 sb4762
  • 30-04-2020
  • Mathematics
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What is the area of the purple region? *

What is the area of the purple region class=

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osikbro
osikbro osikbro
  • 30-04-2020

Answer:

49pi or about 153.94 square meters.

Step-by-step explanation:

Because the two semicircles together take up the 28m long edge of the rectangle, they each half that diameter and a quarter of that radius. This means that both semicircles have a radius of 28/4=7.  Since two semicircle with the same radius form a full circle, we can just calculate the area of a full circle of radius 7. [tex]\pi \cdot 7^2=49\pi\approx 153.94[/tex]. Hope this helps!

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