fartblastfart1145 fartblastfart1145
  • 16-04-2020
  • Mathematics
contestada

A helicopter's rotor sweeps out an area of 121 pi square

meters. What is the diameter of the rotor?

Respuesta :

jajumonac jajumonac
  • 17-04-2020

Answer:

22 meters.

Step-by-step explanation:

It's important to notice that the area is circular, which is defined by

[tex]A= \pi r^{2}[/tex]

Replacing given values and solving for r, we have

[tex]121 \pi = \ pi r^{2} \\121=r^{2}\\ r= \sqrt{121}=11[/tex]

But, the diameter is twice the radius, so

[tex]d=2r=2(11)=22[/tex]

Therefore, the diameter is 22 meters.

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