DSQ: Calculating the angle of a sector

Practice Questions

GMAT Quantitative Reasoning › DSQ: Calculating the angle of a sector

Questions
10
1

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?

2

What time is it?

Statement 1: The minute hand and the hour hand are currently forming a angle.

Statement 2: The minute hand is on the 6.

3

Chords

Note: Figure NOT drawn to scale.

Refer to the above figure. What is the degree measure of ?

Statement 1: .

Statement 2: measures .

4

What time is it?

Statement 1: The minute hand and the hour hand are currently forming a angle.

Statement 2: The tip of the minute hand has traveled exactly eight inches since last leaving the 12 position.

5

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)?

6

Circle A has radius six times that of Circle B; a sector of Circle A with angle measure has the same area as Circle B. Evaluate .

7

Election

Above are the results of the election for student body president that Greg is about to publish in the school newspaper. At the last minute, his friend Melissa stops him and reminds him that there was a sixth candidate, Wilson, who got 202 votes.

Greg'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 Douglas decrease (nearest whole degree)?

8

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 Thomas (nearest whole number)?

9

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)?

10

What time is it?

Statement 1: The minute hand and the hour hand form a angle.

Statement 2: The minute hand is exactly on the 8.

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