Question

Someone help me
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

Answer 1

Answer:

see the explanation

Step-by-step 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 -> $0.96(12)=11.52\ in$