Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the area of the sector given r = 4 cm and θ = π 3 . a) 3π 4 cm2 b) 3π 8 cm2 c) 8π 3 cm2 d) 4π 3 cm2

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the length of an arc intercepted by an angle is proportional to the radius to find the area of the sector given r = 4 cm and Θ = 
π
3   
I will have to assume that your angle is pi/3.

The area of this circle is pi*r^2, or pi*(4 cm)^2, or 16*pi cm^2, and the area of the sector defined by pi/3 is

 pi/3                                 (1/3)
* 16*pi cm^2, or  * 16 pi cm^2, or (16 pi)/6 cm^2, 
2pi                                    2

or 8pi/3 cm^2 (answer)