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

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`