A copper wire of length 44 cm is to be bent into a square and a circle. Which will have a larger area?

To solve this problem, we first need to understand the formulas for the area of a square and a circle.

1. Square: The area of a square is given by the formula A = s^2, where s is the length of a side. If we bend the wire into a square, each side will be 44 cm / 4 = 11 cm. Therefore, the area of the square will be A = 11^2 = 121 cm^2.

2. Circle: The area of a circle is given by the formula A = πr^2, where r is the radius. If we bend the wire into a circle, the circumference will be 44 cm. The formula for the circumference of a circle is C = 2πr, so we can solve for r to get r = C / (2π) = 44 cm / (2π) ≈ 7 cm. Therefore, the area of the circle will be A = π(7^2) ≈ 154 cm^2.

So, the circle will have a larger area than the square.