ktbz
ktbz ktbz
  • 25-06-2019
  • Mathematics
contestada

please help! i was wondering how you would solve this question!

please help i was wondering how you would solve this question class=

Respuesta :

tramserran
tramserran tramserran
  • 25-06-2019

Answer:  C.  150 km²

Step-by-step explanation:

Use similar triangle proportion to find x:

[tex]\dfrac{x}{4.5}=\dfrac{15.3+7.4}{7.4}\\\\\\x=\dfrac{4.5(22.7)}{7.4}\\\\\\x=13.8\\\\\text{Notice that x is the diameter of the circle}\implies r=\dfrac{13.8}{2}=6.9\\\\\\\text{Find the area of the circle using }A=\pi r^2\\A=\pi (6.9)^2\\\\.\ =\pi (47.6)\\\\.\ =149.6\\\\.\ \approx150[/tex]

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