Sectors

Practice Questions

ISEE Upper Level (grades 9-12) Quantitative Reasoning › Sectors

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1

A giant clock has a minute hand four and one-half feet in length. Since noon, the tip of the minute hand has traveled $110 \pi$ feet. Which of the following is true of the time right now?

2

A giant clock has a minute hand four and one-half feet in length. Since noon, the tip of the minute hand has traveled $110 \pi$ feet. Which of the following is true of the time right now?

3

Acute triangle $\bigtriangleup ABC$ is inscribed in a circle. Which is the greater quantity?

(a) $m \overarc {ABC} - m \overarc {ACB}$

(b) $m \overarc {A B} - m \overarc {A C}$

4

Acute triangle $\bigtriangleup ABC$ is inscribed in a circle. Which is the greater quantity?

(a) $m \overarc {ABC} - m \overarc {ACB}$

(b) $m \overarc {A B} - m \overarc {A C}$

5

$\bigtriangleup ABC$ is inscribed in a circle. $\overarc {ABC }$ is a semicircle. $m \angle A = 40 ^{\circ }$ .

Which is the greater quantity?

(a) $m \overarc {BAC}$

(b) $m \overarc {BCA }$

6

Circlesectorgeneral9

The arc-length for the shaded sector is . What is the value of , rounded to the nearest hundredth?

7

Circlesectorgeneral9

The arc-length for the shaded sector is . What is the value of , rounded to the nearest hundredth?

8

$\bigtriangleup ABC$ is inscribed in a circle. $\overarc {ABC }$ is a semicircle. $m \angle A = 40 ^{\circ }$ .

Which is the greater quantity?

(a) $m \overarc {BAC}$

(b) $m \overarc {BCA }$

9

Circle 1

The above circle, which is divided into sectors of equal size, has diameter 20. Give the area of the shaded region.

10

Circle 1

The above circle, which is divided into sectors of equal size, has diameter 20. Give the area of the shaded region.

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