Sectors

Practice Questions

GMAT Quantitative Reasoning › Sectors

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1

What percentage of a circle is a sector if the angle of the sector is ?

2

A given sector covers of a circle. What is the corresponding angle of the sector?

3

What is the arc length for a sector with a central angle of if the radius of the circle is ?

4

The arc of a circle measures . The chord of the arc, , has length . Give the length of the arc .

5

Sector

The circle in the above diagram has center . Give the area of the shaded sector.

Statement 1: Arc has length .

Statement 2: Arc has length .

6

A teacher buys a supersized pizza for his after-school club. The super-pizza has a diameter of 18 inches. If the teacher is able to perfectly cut from the center a 36 degree sector for himself, what is the area of his slice of pizza, rounded to the nearest square inch?

7

A given sector of a circle comprises of the circle. What is the corresponding angle of the sector?

8

What percentage of a circle's total area is covered by a sector with an angle of ?

9

A giant clock has a minute hand that is eight feet long. The time is now 2:40 PM. How far has the tip of the minute hand moved, in inches, between noon and now?

10

Chords

Note: Figure NOT drawn to scale.

.

Order the degree measures of the arcs from least to greatest.

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