GMAT Math : Sectors
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Example Questions
Example Question #8 : Dsq: Calculating The Angle Of A Sector
The radius of Circle A is equal to the sidelength of Square B. A sector of Circle A has the same area as Square B. Which of the following is the degree measure of this sector?
The radius of Circle A and the length of a side of the square are the same - we will call each 
Example Question #9 : Dsq: Calculating The Angle Of A Sector
After a student body election, Henry is constructing a circle graph to represent the above voter count.
What will be the measure of the central angle of the sector representing Starr (nearest whole number)?
The number of people who voted:
245 people voted for Starr, so the sector representing Starr will have measure
Example Question #10 : Dsq: Calculating The Angle Of A Sector
Above are the results of the election for student body president that Mike is about to publish in the school newspaper. At the last minute, his friend Veronica stops him and tells him that there was an error in one digit - Lealand got 181 votes, not 101 votes.
Mike's article includes a circle graph that he will now have to change to reflect this corrected information. By how many degrees will the angle measure of the sector representing Lealand increase (nearest whole degree)?
According to Mike's erroneous information, the number of people who voted was
101 of whom voted for Lealand. Therefore, Mike's initial circle graph would have a sector of degree measure
representing Lealand's share of the vote.
However, the corrected figures are
181 of which went to Lealand, so his sector will have measure
an increase of 
The correct response is 
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