A circle has a radius of 7.2 feet and a central angle A that measures 112°. What is the area of sector AOB?

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Answer 1 · 2017-01-24T14:45:09

#50.67m^2#

Area of a sector#=(theta xx pi)/360 xx r^2#

#:.=(112 xx pi)/360 xx 7.2^2#

#:.=(112 xx 3.141592654)/360 xx 7.2^2#

#:.=351.8583772/360 xx 51.84#

#:.=18240.09954/360#

#:.=50.66760632##m^2#

check:

#360°-112°=248°#

#:.(248 xx pi)/360 xx 7.2^2=112.1925568 m^2#

#:.50.67+112.19=162.86m^2#

area of circle#=pir^2=3.141592654 xx 7.2^2=162.86m^2#