To find: The length of two pieces of wire in inches to nearest tenth.
The length of two pieces of wire is 169.1 inches and 190.9 inches.
A wire of length 360 inches is cut into two pieces. A square is formed from one piece and a circle is formed from other piece.
Let the side of square be x and radius of circle be r.
Tabulate the given information into the language of algebra.
|In words||In algebra|
|Radius of circle||r|
|Area of circle|
|Length of side of square||x|
|Area of square|
Model the equation for the above information.
The length of wire is equal to sum of perimeter of circle and perimeter of square.
Substitute for x in above equation.
Solve above equation for r.
Substitute 26.95 for r and 3.14 for into equation (1).
The length of one wire is 190.8 inches.
The length of other wire is,
The length of other wire is 169.2 inches.
Thus, the length of two pieces of wire is 169.1 inches and 190.9 inches.
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