How to find the length of an arc

Practice Questions

ISEE Upper Level (grades 9-12) Quantitative Reasoning › How to find the length of an arc

Questions
6
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 feet. Which of the following is true of the time right now?

2

Acute triangle is inscribed in a circle. Which is the greater quantity?

(a)

(b)

3

Chords

Note: Figure NOT drawn to scale

Refer to the above figure.

Which is the greater quantity?

(a)

(b)

4

The clock at the town square has a minute hand eight feet long. How far has its tip traveled since noon if it is now 12:58 PM?

5

A giant clock has a minute hand seven feet long. Which is the greater quantity?

(A) The distance traveled by the tip of the minute hand between 1:30 PM and 2:00 PM

(B) The circumference of a circle seven feet in diameter

6

A giant clock has a minute hand that is six feet long. The time is now 3:50 PM. How far has the tip of the minute hand moved, in inches, between noon and now?

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