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A circle with the area of nine pi has a sector with a central angle of 1/9 pi radians what is the area of the sector

Respuesta :

calculista

Answer:

The area of the sector is [tex]0.5\pi\ units^2[/tex]

Step-by-step explanation:

we know that

The area of a complete circle (9π units^2) subtends a central angle of 2π radians

so

using proportion

Find out the area of a sector , if the central angle is equal to π/9 radians

[tex]\frac{9\pi}{2\pi}=\frac{x}{(\pi/9)}\\\\x=4.5(\pi/9)\\\\x= 0.5\pi\ units^2[/tex]

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