GMAT Math : Sectors

Study concepts, example questions & explanations for GMAT Math

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Example Questions

Example Question #614 : Data Sufficiency Questions

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?

Possible Answers:

Correct answer:

Explanation:

The radius of Circle A and the length of a side of the square are the same - we will call each . The area of the circle is ; that of the square is . Therefore, a sector of the circle with area  will be  of the circle, which is a sector of measure

Example Question #9 : Dsq: Calculating The Angle Of A Sector

Election

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)?

Possible Answers:

Correct answer:

Explanation:

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

Election

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)?

Possible Answers:

Correct answer:

Explanation:

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 

 votes total, 

181 of which went to Lealand, so his sector will have measure

,

an increase of .

The correct response is .

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