Question

A farmer buys a circular field at the rate ₹ 700 per m² for ₹ 4,31,200.
Find the perimeter of the field. (Use π =22/7]

Answer 1

Given:

Total cost =₹ 4,31,200


Rate per m² = ₹ 700


Area of Circular field= total cost/ Rate per m²


Area of Circular field= 4,31,200 / 700


Area of Circular field= 4312/7 = 616 m²


Area of Circular field= 616 m²


Area of circle = πr²


616 = (22/7)× r²


r² = (616× 7 ) /22= 308× 7/11= 28 × 7


r² = 28 × 7


r = √ 4×7 × 7= 2×7= 14 m

radius of circle = 14 m


Perimeter of Circular field ( circumference)= 2πr


= 2× 22/7× 14= 44× 2= 88 m


Perimeter of Circular field = 88 m

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