Answer:
[tex]r = 42[/tex] --- radius
[tex]L = 66[/tex] -- Length of the square
Step-by-step explanation:
Given
[tex]Length = 264cm[/tex]
Solving (a): Find the radius (when it formed a circle).
The length of the wire represents the circumference (C) of the wire.
So, we have:
[tex]C = 2\pi r[/tex]
Make r the subject
[tex]r = \frac{C}{2\pi}[/tex]
Substitute 264 for C
[tex]r = \frac{264}{2\pi}[/tex]
[tex]r = \frac{132}{\pi}[/tex]
Take [tex]\pi[/tex] as 22/7
[tex]r = \frac{132}{22/7}[/tex]
[tex]r = \frac{132*7}{22}[/tex]
[tex]r = \frac{924}{22}[/tex]
[tex]r = 42[/tex]
Solving (b): Find the side length (when it formed a square).
The length of the wire represents the perimeter (P) of the wire.
So, we have:
[tex]P = 4L[/tex]
Make L the subject
[tex]L = \frac{1}{4}P[/tex]
Substitute 264 for P
[tex]L = \frac{1}{4}*264[/tex]
[tex]L = 66[/tex]
