The inner circumference of a circular track is 24π m. The track is 2 m wide from everywhere. The quantity of wire required to surround the path completely is ________.
A 80 m
B 81 m
C 82 m
D 88 m
Ans 1: (Master Answer)
The correct anser is D.
Circumference = 24πm, Width of track= 2 m
As we know that circumference = 2πr
Therefore, 2πr = 24π
r = 12m
Now, Radius of outer circle = Radius of inner circle + Width of the track = 12 m + 2 m = 14 m
Again, Circumference of outer circle = 2πR = 2 X 3.14 X 14 = 88 m
Hence, the quantity of wire required to surround the path completely is 88 m.