Side of square=16.5.
perimeter of square=4×side
=4×16.5
=66cm
the perimeter of square is as same as the circumference of the circle (given)

circumference of circle=66cm
=2πr
=2×22/7 ×r
66=2×22/7×r
r=10.5
diameter=10.5×2
=21cm

Circumference and Diameter of a Circle

To find the circumference and diameter of a circle, we need to know the shape and dimensions of the wire. In this case, the wire is in the shape of a square with each side measuring 16.5 cm. We will use this information to calculate the circumference and diameter of the circle.

1. Finding the Perimeter of the Square:
The perimeter of a square is the sum of all its sides. Since each side of the square measures 16.5 cm, the perimeter can be calculated as follows:
Perimeter of the square = 4 * side length
Perimeter of the square = 4 * 16.5 cm
Perimeter of the square = 66 cm

2. Finding the Circumference of the Circle:
The circumference of a circle is the distance around its outer edge. In this case, the wire has been bent into the shape of a circle. The circumference of a circle can be calculated using the formula:
Circumference = π * diameter

3. Finding the Diameter of the Circle:
The diameter of a circle is a straight line passing through the center and touching two points on the edge of the circle. We can find the diameter of the circle by using the formula:
Diameter = Perimeter of the square / π

Substituting the values in the formula:
Diameter = 66 cm / π
Diameter ≈ 21.0 cm (approximated to one decimal place)

4. Calculating the Circumference:
Using the diameter value, we can calculate the circumference of the circle:
Circumference = π * Diameter
Circumference ≈ 3.14 * 21.0 cm
Circumference ≈ 65.94 cm (approximated to two decimal places)

Therefore, the circumference of the circle is approximately 65.94 cm, and the diameter is approximately 21.0 cm.