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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)
