A 4cm chord subtands a central angle of 60 degree.The radial segment of this circle is

Answer 1

Your question is not clear.
Do you want the area of the segment or the length of the
arec of that segment.

If arclength:
construct the triangle by using the radii
Clearly you have an equilateral triangle , all sides being 4 cm
the circumference of the whole circle is 2πr = 8π m

so the arc length of the segment is (60/360)(8π) cm = ...

if area of arc:
area of whole circle = πr^2 = 16π cm^2
area of sector = (1/6)(16π) cm^2 = ....
area of the equilateral triangle = (1/2)(4)(4)sin60 = ....

area of segment = area of sector - area of triangle