The measure of central angle qrs is radians. what is the area of the shaded sector? 36 72 144 324
Asked by maham237 @ in Mathematics viewed by 497 People
Answered by maham237 @
The picture in the attached figure
we know that
the angle measurement of central angle QRS is less than pi radians
area of the circle=pi*r²
for r=18 units
area of the circle=pi*18²------> 324*pi units²
area of the half of a circle=324*pi/2-----> 162*pi units²
area of a quarter of a circle=324*pi/4----> 81*pi units²
analyzing the graph we can say that the shaded area is smaller than the area of the middle of a circle but it is larger than the area of a quarter of a circle
so
the area of the shaded sector < 162*pi units²
and
the area of the shaded sector > 81*pi units²
therefore
the answer must be 144*pi units²
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