A circle with radius 3 has a sector with a central angle of 1/9 pi radians. What is the area of the sector?

Respuesta :

Answer:

The area of the sector is 1.57 unit square.

Step-by-step explanation:

Given that,

Radius of circle, r = 3

Angle of sector, [tex]\theta=\dfrac{\pi}{9}\ radian[/tex]

If [tex]\theta[/tex] is in radian, the area of sector is given by :

[tex]A=\dfrac{1}{2}r^2\theta\\\\A=\dfrac{1}{2}\times (3)^2\times \dfrac{\pi}{9}\\\\A=1.57[/tex]

So, the area of the sector is 1.57 unit square.