cost of levelling of circular ground @ 25 paisa/square meter is 2500.Help me find the radius of this ground
2500/25 = 100 m^2
since a = pi r^2,
pi r^2 = 100
So now you can easily find r.
solve this
To find the radius of the circular ground, we need to solve the equation related to the cost and area of the ground. Here's how:
Step 1: Calculate the cost per square meter of leveling.
Given: Cost per square meter = 25 paisa
Converting paisa to rupees: 1 Rupee = 100 paisa
Cost per square meter = 25 paisa = 25/100 Rupee = 0.25 Rupee
Step 2: Calculate the area of the ground.
Given: Cost of leveling = 2500 Rupees
Cost per square meter = 0.25 Rupee
Area of the ground = Cost of leveling / Cost per square meter
Area of the ground = 2500 Rupees / 0.25 Rupee
Area of the ground = 10,000 square meters
Step 3: Calculate the radius of the circular ground.
The formula for the area of a circular ground is:
Area = π * radius^2
Since we have the area, we can rearrange the formula to solve for the radius:
radius = sqrt(Area / π)
Plugging in the values:
radius = sqrt(10,000 square meters / π)
Calculating the radius using a calculator:
radius ≈ sqrt(3183.1)
radius ≈ 56.456 meters
Therefore, the approximate radius of the circular ground is 56.456 meters.