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Answer 1 · 2017-06-09T17:04:59

#A_s=24pi# sq. inches

the area of a sector is given by

#A_s=1/2r^2theta#

where #r=# the radius; and # theta = # the angle at the centre where # theta # is in RADIANS"

we need to change the #60^0# into radians

#pi^c=180^0#

#:.60^0=(pi^c)/3#

#A_s=1/2xx12^2xxpi/3#

#A_s=24pi# sq. inches

Answer 2 · 2017-06-09T19:35:11

Sector area = #24 pi#

Determine what fraction the sector represents of the circle:

#theta/360= 60/360 = 1/6#

Therefore the sector area will be #1/6# of the area of the circle:

Sector area = #1/6 xx pi r^2#

#=1/6 xx pi (12^2)#

#=24 pi#