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The circumference of a quarter is approximately 2.88 inches. If the quarters are arranged as shown, what is the length of the row of quarters? (Use 3 for pi.)

A. 0.96 inches
B. 3.84 inches
C. 5.76 inches
D. 11.52 inches

User ConFusl
by
7.7k points

1 Answer

3 votes

Answer:

see the explanation

Explanation:

we know that

The circumference of a circle is equal to


C=\pi D

where

D is the diameter

In this problem we have


C=2.88\ in


\pi=3

substitute and solve for D


2.88=(3)D


D=2.88/3


D=0.96\ in

we know that

The length of the row of quarters is equal to multiply the diameter of the quarter by the number of quarters in the row

so

For 4 quarters in the row, the length is equal to -->
0.96(3)=3.84\ in

For 6 quarters in the row, the length is equal to -->
0.96(6)=5.76\ in

For 12 quarters in the row, the length is equal to ->
0.96(12)=11.52\ in

User Andrew Watt
by
7.6k points

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