This is a QC question. The answer key shows that option D (Can’t be determined) is correct but I dont understand why. According to me, the answer should be C because radius will be equal for the shaded regions so the only way their area can be equal would be if angle is equal so if their angles are congruent that means angle for A would also be same for eg- angle for shaded region is 50 so angle for sector A would be 130 (using supplementary property of sum 180) similarly for sector B we will get 150 so if angle and radius for these two sectors are equal then there areas would also be equal right?
Could someone explain why answer key shows D as correct?
Not necessarily but how would it matter though since angles of shaded region would be equal right? If they are equal then angle for A and B should also be equal. I am unable to understand why center of the circle would matter
Because it is not stated that the lines pass through the center of the circle, we do not know where they intersect.
Hence have no way to determine the size or area of the sectors.
With the information we have, the image I’ve attached could be the true state of lines as they intersect, or they could intersect in the center…we don’t know
