A road 3.5 m surrounds a circular plot whose circumference is 22m. Find the cost of paving the road at rupees 20 per metre square
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Answer:
Let r and R be the radius of the inner and outer circle respectively.
Circumference of the inner circle = 44 m
2πr=44
=>2×227×r=44
=> r = 7 m
Width of the road = 3.5 m
Radius of the outer circle R = 7 m + 3.5 m = 10.5 m
Area of the road = π(R2−r2)
=227[(10.5)2−(7)2]
=227(10.5−7)(10.5+7)
=227×17.5×3.5
= 192.5 m2
Rate of paving the road = Rs 50 / m2
Cost of paving the road = 192.5×50=Rs. 9625
Step-by-step explanation:
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