High School

A wire is looped in the form of a circle with a radius of 28 cm. It is then re-bent to form a square. Determine the length of one side of the square.

A) 154 cm
B) 176 cm
C) 308 cm
D) 616 cm

Answer :

Final answer:

The length of the square formed by the wire is approximately 176 cm.

Explanation:

To determine the length of the square, we need to find the perimeter of the square. When a wire is looped to form a circle, its length becomes the circumference of the circle. Here, the radius of the circle is given as 28 cm. Therefore, the circumference of the circle will be 2π × 28 cm. Now, since the wire is re-bent to form a square, each side of the square will have the same length as the circumference of the circle. Hence, the length of the square will be 2π × 28 cm.

Using the value of π as approximately 3.14, we can calculate the length of the square as 2 × 3.14 × 28 cm, which is approximately 175.84 cm. Rounding it off to the nearest whole number, the length of the square is approximately 176 cm.

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