Final answer:
To find the radius of the circular region, divide the cost by the rate to get the area. Use the formula A = πr² and rearrange the equation to solve for the radius.
Step-by-step explanation:
To find the radius of the circular region, we need to first calculate the area of the circular region. The cost of leveling the ground is given as Rs 4928 and the rate is Rs 2 per square meter. So, we can find the area by dividing the cost by the rate: Rs 4928 ÷ Rs 2 = 2464 square meters.
The formula for the area of a circle is A = πr², where A is the area and r is the radius. Plugging in the known value of the area, we have: 2464 = πr².
Now, we can solve for the radius by rearranging the equation: r² = 2464/π = 783.788397. Taking the square root of both sides, we find: r = √783.788397 ≈ 28.01 meters.