The number of gold rings can be made = 70
Step-by-step explanation:
Given,
Total length of gold wire = 8.8m
The radius of the gold ring = 2cm
To find,
The number of gold rings can be made
Perimeter of a circle= 2πr, where 'r' is the radius of the circle.
The length of the gold wire is required to make one gold ring = perimeter of the gold ring.
Since the radius of the gold ring = 2cm, the perimeter of the gold ring
= 2 × π × 2
= 4πcm
The perimeter of one gold ring = 4πcm
Length of the gold wire = 8.8m = 8.8 × 100cm = 880cm
Number of gold rings can be made = \(\frac{880}{4π}\)
= \(\frac{880\times7}{4\times22}\)
= 70
∴ The number of gold rings can be made = 70
