A road 3.5m wide surrounds a circular plot whose circumference is 44 m. Find the cost of paving the road at rupees 20 per metre square.
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circumference of circular plot = 44 m
2πr = 44 m
2×22/7×r = 44 m
r = 7 m
area of path =area of outer circle - area of inner circle
area of path = π × 10.5² - π × 7²
= π × ( 10.5²-7²)
= π × (110.25 - 49)
= π × 61.25
= 22/7 × 61.25
= 192.5 m²
cost of paving the path 1 m² = rs 20
cost of paving the path 192.5 m²= 192.5×20
= rs 3850
so, the cost of paving the path 192.5 m²= rs 3850
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