Sectors

Practice Questions

PSAT Math › Sectors

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1

Sector

Note: Figure NOT drawn to scale.

In the above circle, the length of arc is , and the length of arc is . Evaluate .

2

Sector

Note: Figure NOT drawn to scale.

Refer to the above figure. The ratio of the area of the white sector to that of the gray sector is 5 to 1. Evaluate .

3

Sector

Note: Figure NOT drawn to scale.

In the above circle, the length of arc is , and the length of arc is . Evaluate .

4

Sector

Note: Figure NOT drawn to scale.

Refer to the above figure. The ratio of the area of the white sector to that of the gray sector is 5 to 1. Evaluate .

5

Sector

Note: Figure NOT drawn to scale.

The area of the gray sector in the above circle is . The area of the white sector is . Evaluate .

6

Sector

Note: Figure NOT drawn to scale.

The area of the gray sector in the above circle is . The area of the white sector is . Evaluate .

7

What is the angle of a sector of area on a circle having a radius of ?

8

What is the angle of a sector of area on a circle having a radius of ?

9

Sector

Note: Figure NOT drawn to scale.

In the above circle, . Give the ratio of the area of the white sector to that of the gray sector.

10

Sector

Note: Figure NOT drawn to scale.

In the above circle, . Give the ratio of the area of the white sector to that of the gray sector.

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