The largest circular shape my piece of string can form has a diameter of 8 cm long. How long is the diameter of the largest circular shape that half my piece of string can form?
A. 4/pi cm
B. 8/pi cm
C. 2 cm
D. 4 cm
Is D the answer ?
yes
To find the length of the diameter of the largest circular shape that half your piece of string can form, we can use the formula for the circumference of a circle.
The circumference of a circle is given by the formula: C = πd, where C is the circumference and d is the diameter.
Given that the diameter of the largest circular shape your full piece of string can form is 8 cm, we can calculate its circumference as follows:
C = πd = π(8 cm) = 8π cm
To find the length of the circumference of the largest circular shape that half your piece of string can form, we need to divide the circumference by 2:
C/2 = (8π cm)/2 = 4π cm
So, the circumference of the largest circular shape that half your piece of string can form is 4π cm.
Now, let's find the diameter of this shape. We know that C = πd, so we can rearrange the formula to solve for d:
d = C/π = (4π cm)/π = 4 cm
Therefore, the length of the diameter of the largest circular shape that half your piece of string can form is 4 cm.
So, the correct answer is D.