Answer- The above question is from the chapter 'Areas Related to Circles'.
Concepts used: 1) Circumference of circle = Total cost of fencing ÷ Cost per metre
2) Area of circle = πr²
3) Cost of cultivating field = Area of circle × Cost per m²
Given question: The cost of fencing around a circular field at ₹ 5 per m is ₹ 220. What is the total cost of cultivating the field at ₹ 10 per m² ?
Solution: Circumference of circle = Total cost of fencing ÷ Cost per metre
2πr = ₹220 ÷ ₹5
2πr = 44
× r = 22
r = 7 m
Area of circular field = πr² = × 7 × 7 = 154 m²
Cost of cultivating per m² = ₹10
Cost of cultivating 154 m² = 154 × 10 = ₹1540
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Answer- The above question is from the chapter 'Areas Related to Circles'.
Concepts used: 1) Circumference of circle = Total cost of fencing ÷ Cost per metre
2) Area of circle = πr²
3) Cost of cultivating field = Area of circle × Cost per m²
Given question: The cost of fencing around a circular field at ₹ 5 per m is ₹ 220. What is the total cost of cultivating the field at ₹ 10 per m² ?
Solution: Circumference of circle = Total cost of fencing ÷ Cost per metre
2πr = ₹220 ÷ ₹5
2πr = 44
r = 7 m
Area of circular field = πr² =
× 7 × 7 = 154 m²
Cost of cultivating per m² = ₹10
Cost of cultivating 154 m² = 154 × 10 = ₹1540
∴ Cost of cultivating the field = ₹1540.