A square made by a length of string 8 cm long is reshaped into a circle. What is the circumference of the circle
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Wouldn't the circumference also be 8 cm?
a square made by a length of string 8 cm long is reshaped into a circle. what is the circumference of the circle?
To find the circumference of the circle, we need to use the formula C = πd, where C represents the circumference and d represents the diameter of the circle.
However, since we are given the length of the string that was reshaped into the circle, we can use this to find the circumference.
We know that the length of the string that formed the square is 8 cm. This means that the perimeter of the square is also 8 cm.
To find the perimeter of the square, we can use the formula P = 4s, where P represents the perimeter and s represents the length of one side of the square.
Since the square has four equal sides, we divide the perimeter by 4 to find the length of one side.
8 cm ÷ 4 = 2 cm
Now that we know the length of one side of the square, we can find the diameter of the circle.
The diameter of the circle is equal to the length of one side of the square.
Therefore, the diameter of the circle is 2 cm.
Now, we can use the formula for the circumference of a circle to find the answer.
C = πd
C = π(2 cm)
To find the circumference, we can multiply π (pi) by the diameter.
Using an approximate value of π = 3.14, we can calculate:
C ≈ 3.14 × 2 cm
C ≈ 6.28 cm
So, the circumference of the circle is approximately 6.28 cm.