The correct answer is:
₹1925
Explanation:
Length of the fence (in meters) = $\displaystyle \dfrac{Total cost}{Rate}$ = $\displaystyle \dfrac{5820}{24}$ = 220 So, circumference of the the field  = 220 m
Therefore, if r meters is the radius of the field , then
$2\pi r=220$
Or, 2 × $\displaystyle \dfrac{22}{7}$​× r = 220
 or, r = $\displaystyle \dfrac{220×7}{2×22}$ = 35 m
i.e., radius of the field is $35\mathrm{m}$.
Therefore, area of the field =πr² = $\displaystyle \dfrac{22}{7}$× 35 × 35 m² = 22 × 5 × 35 m²
Now, cost of ploughing $1m²$ of the field $=₹0.50$
So, total cost of ploughing the field $=₹22\times 5\times 35\times 0.50=₹1925$