A wire is 73 meters long. 29 meters are cut off. The remaining wire is used to make circular rings with a radius of 14 meters. Using $\pi = \frac{22}{7}$, how many circular rings can be made at most?

1. Problem Description

A wire is 73 meters long. 29 meters are cut off. The remaining wire is used to make circular rings with a radius of 14 meters. Using $\pi = \frac{22}{7}$, how many circular rings can be made at most?

2. Solution Steps

First, we need to find the length of the remaining wire.

Remaining wire length = Total wire length - Cut off wire length

Remaining wire length = $73 - 29 = 44$ meters.

Next, we need to find the circumference of one circular ring with radius 14 meters.

Circumference = $2 \pi r$

Given that $\pi = \frac{22}{7}$ and $r = 14$,

Circumference = $2 \times \frac{22}{7} \times 14$

Circumference = $2 \times 22 \times 2 = 88$ meters.

Now, we need to find how many circular rings can be made from the remaining wire.

Number of rings = Remaining wire length / Circumference of one ring

Number of rings = $\frac{44}{88} = \frac{1}{2}$

Since we can only make whole rings, we can't make any complete rings. Thus, the number of rings must be rounded down to

0.

Number of rings = $\frac{44}{2 \times \frac{22}{7} \times 14} = \frac{44}{2 \times 22 \times 2} = \frac{44}{88} = 0.5$

The number of rings we can make must be an integer. Therefore, we round down to the nearest whole number.

3. Final Answer

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