meylinmorales80 meylinmorales80
  • 17-04-2020
  • Mathematics
contestada

A circle has a sector with a area 3/2 pi and central angle of 60 degrees. What is the area of the circle?

Respuesta :

calculista
calculista calculista
  • 24-04-2020

Answer:

The area of the circle is [tex]9\pi\ units^2[/tex]

Step-by-step explanation:

we know that

The area of a complete circle subtends a central angle of 360 degrees

so

using proportion

[tex]\frac{3\pi/2}{60^o}=\frac{x}{360^o}\\\\x=(\frac{3\pi}{2})(360)/60\\\\x=9\pi\ units^2[/tex]

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