Calculating the area of a sector

Practice Questions

GMAT Quantitative Reasoning › Calculating the area of a sector

Questions
5
1

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 .

2

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?

3

If a circle has an area of , what is the area of a sector with an angle of ?

4

Consider the Circle :

Circle3

(Figure not drawn to scale.)

If angle is , what is the area of sector in square meters?

5

In the figure shown below, line segment passes through the center of the circle and has a length of . Points , , and are on the circle. Sector covers of the total area of the circle. Answer the following questions regarding this shape.

Circle1

Find the area of sector .

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