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The inner circumference of a circular track is 44 m. If the track is 17.5 m wide everywhere, find the cost of fencing the outer circle at the rate of Rs 4/m
Given: The inner circumference of a circular track is $44$ m. If the track is $17.5$ m wide everywhere.
To do: To find the cost of fencing the outer circle at the rate of Rs $4$/m
Solution
Let the radius of inner circle = r
Circumference of the inner circle = $2 \times \frac{22}{7} \times r$
= $44$ m
So r = $44 \times \frac{7}{2 \times 22} = 7$ m
The width of the track $17.5$ m
So radius of outer circle = $7 + 17.5$ = $24.5$ m
Circumference of outer circle = $2 \times \frac{22}{7} \times 24.5$ = 154 m
Rate of fencing = Rs $4$/m
Cost of fencing outer circle
$4 \times 154 = Rs \ 616$