A circle has a chord that goes from #( pi)/2 # to #(2 pi) / 3 # radians on the circle. If the area of the circle is #4 pi #, what is the length of the chord?

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A circle has a chord that goes from #( pi)/2 # to #(2 pi) / 3 # radians on the circle. If the area of the circle is #4 pi #, what is the length of the chord?

1 Answer

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Answer 1 · 2016-07-29T21:07:03

#=pi/3#

Explanation:

Chord has traveled #pi/2# to #(2pi)/3# radians
or
#pi/6#radians
#=180/6#Degrees
#=30^@#

Circumference of the circle with area=#4pi# is also #4pi#
So Length of the chord can be derived as follows :
#360^@# correspond to #4pi#
#pi/6# radians or #30^@#will correspond to #(4pi)/360# x30
#=pi/3#

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A circle has a chord that goes from #( pi)/2 # to #(2 pi) / 3 # radians on the circle. If the area of the circle is #4 pi #, what is the length of the chord?

1 Answer

Explanation:

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