The largest circular shape my pieced of string can form has a diameter 8 cm long. How long is the diameter of the largest circular shape that half my piece of string can form?
circles are all geometrically similar to each other so all lengths scale the same. Both the diameter and the circumference are lengths.
(1/2) 8 = 4
To find the diameter of the largest circular shape that half of your piece of string can form, you need to understand that the circumference of a circle is directly related to its diameter.
The circumference (C) of a circle is given by the formula: C = π * d, where π (pi) is a mathematical constant approximately equal to 3.14159, and d is the diameter of the circle.
Given that the diameter of the largest circular shape your string can form is 8 cm, we can find its circumference using the formula:
C = π * d,
C = 3.14159 * 8 cm,
C ≈ 25.1327 cm.
Now, since you want to find the diameter of the largest circular shape that half your piece of string can form, you need to divide the circumference (25.1327 cm) by 2, since the length of string available is reduced by half.
Diameter = C / 2,
Diameter = 25.1327 cm / 2,
Diameter ≈ 12.5664 cm.
So, the diameter of the largest circular shape that half of your piece of string can form is approximately 12.5664 cm.