the diameter of a circle Park is 24 m a 3 metre wide path runs around it from inside find the cost of paving the path at rupees
25 per square metre
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r = 24/2 = 12m
area of the field with radius r = πr²
= 22/7 × 12 × 12
= 22 × 20.57
= 452.54m² ____(i)
R = 24+3/2 = 27/2m
area of the field with radius R = πR²
= 22/7 × 27/2 × 27/2
= 22/7 × 729/4
= 11/7 × 729/2
= 8019/14
= 572.78m² _____(ii)
Area of the path = (ii) - (i)
= 572.78 - 452.54
= 120.24m²
rate = ₹25/m²
cost = 120.24 × 25
= ₹3006
area of the field with radius r = πr²
= 22/7 × 12 × 12
= 22 × 20.57
= 452.54m² ____(i)
R = 24+3/2 = 27/2m
area of the field with radius R = πR²
= 22/7 × 27/2 × 27/2
= 22/7 × 729/4
= 11/7 × 729/2
= 8019/14
= 572.78m² _____(ii)
Area of the path = (ii) - (i)
= 572.78 - 452.54
= 120.24m²
rate = ₹25/m²
cost = 120.24 × 25
= ₹3006
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