A road 3.5m wide surround a circular park whose circumference is 176m.Find the cost of priving the road a rate of 60 per square.
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Let the 'r' and 'R' be the radii of the inner and outer circle respectively.
Circumference of the circle = 44 m
⇒2πr = 44
⇒2*22/7*r = 44
⇒r = (44*7)/44
⇒r = 7 m
» Radius of the inner circle is 7 m
Width of the road = 3.5 m
» Radius of the outer circle = 7 + 3.5 = 10.5 m
⚘ Area of the road = πR² - πr²
⇒ 22/7*10.5*10.5 - 22/7*7*7
⇒ 346.5 - 154
Area of the road = 192.5 sq m
Cost of paving the road = Rs. 50 per sq m
Total cost of paving the road = 192.5 × 50
⚘ Total cost = Rs. 9625
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