Question

A road 3.5m wide surrounded a circular plot whose circumference is 44m. find the cost of paving the road at RS 20 per meter

Answer 1

hi friend,
Let the radius of circle be = r
2×22/7×r = 44
→44/7×r×7/44 = 44×7/44
→r = 7
Radius = 7m
Diameter of circle including road=7×2m =14m
=(14+3.5+3.5)m
= 21m
Radius of circle including road =21/2m =10.5m
Area of circular plot =(22/7×7²)m²
154m²
Area of circular plot including road =(22/7×10.5×10.5)m²
=346.5m²
Area of road =(346.5 - 154)m²
=192.5m²
Cost of constructing at ₹20/m²= ₹ 20×192.5
= ₹ 3850


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