Question

A piece of wire is bent to form a circle of radius 3 feet. How many pieces of wire, each 2 feet long, can be made from the wire?

a. 3
b. 4
c. 6
d. 9

Answer 1

To determine the number of pieces of wire that can be made from a wire bent into a circle of radius 3 feet, we divide the circumference of the circle by the length of each piece of wire. Using the formula for the circumference of a circle, we calculate that approximately 9 pieces of wire can be made.

Step-by-step explanation:

To find out how many pieces of wire, each 2 feet long, can be made from the wire bent to form a circle of radius 3 feet, we need to determine the circumference of the circle and divide it by the length of each piece of wire.

The formula for the circumference of a circle is C = 2πr, where r is the radius. In this case, the radius is 3 feet, so the circumference is C = 2π(3) = 6π feet.

Now, we divide the circumference by the length of each piece of wire:

Number of pieces of wire = (Circumference) / (Length of each piece) = (6π) / (2) = 3π.

Therefore, we can make 3π pieces of wire, or approximately 9 pieces of wire.