Asked by Minahil
A 4cm chord subtands a central angle of 60 degree.The radial segment of this circle is
Answers
Answered by
Reiny
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
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
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