A chord with a length of #3 # runs from #pi/12 # to #pi/6 # radians on a circle. What is the area of the circle?

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Answer 1 · 2016-08-22T16:00:14

#=412.52#

A chord travels #pi/6-pi/12=pi/12# radians of the Circle

In other words chord travels #pi/12-:2pi=1/24 th# of Circumference

Circumference#=2pir# where #r=radius#

Therefore we can write

Length of the Chord #=3=(2pir)/24#

or

#2pir=3times24#

or

#r=72/(2pi)#

or

#r=11.46#

Area of the Circle#=pir^2#

#=pi(11.46)^2#

#=412.52#