The measure of central angle QRS is radians. What is the area of the shaded sector? 36 72 144 324
Accepted Solution
A:
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