The inner circumference of a circular track is 220 m.The track is 7 m wide everywhere.Calculate the cost of putting up a fence along the outer circle at the rate of $2 per metre.
so, the outer circumference is 220 + 7*2pi
now do the cost.
Let the inner and outer radii of the circular track be R metres and m metres respectively.Then,Inner circumference=220 metre
(Use pi= 22/7)
2piR=220
2×22/7×R=220
R=35 m
Since the track is 7 metre wide everywhere.
m=Outer radii = R+7 = (35+7)m=42 m
Outer circumference= 2pim=(2×22/7×42)m= 264 m
Rate of fencing= $2 per metre
Total cost of fencing= C×Rate=$(264×2)= $528
To calculate the cost of putting up a fence along the outer circle of the track, we need to find the outer circumference of the track and multiply it by the cost per meter.
First, let's find the outer circumference of the track. The outer circumference is equal to the inner circumference plus twice the track's width.
So, the outer circumference = inner circumference + (2 x width)
= 220 m + (2 x 7 m)
= 220 m + 14 m
= 234 m
Now that we have the outer circumference, we can calculate the cost of the fence. The cost is equal to the outer circumference multiplied by the cost per meter.
Cost of the fence = outer circumference x cost per meter
= 234 m x $2/m
= $468
So, the cost of putting up a fence along the outer circle of the track at a rate of $2 per meter is $468.