Question #96f9a

2 Answers
Jun 9, 2017

#A_s=24pi# sq. inches

Explanation:

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

Jun 9, 2017

Sector area = #24 pi#

Explanation:

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#