Answer:
Area of the lawn = 62493π m^2
Explanation:
The total area of the circular park is given by the formula: A = πr^2
Where A is the area and r is the radius.
So, the total area of the park
= π(250m)^2
= 62500π m^2
The area of one lamp base is given by the formula: A = πr^2
Substituting the given radius of 1m, we find:
The area of one lamp base = π(1m)^2
= π m^2
As there are 7 lamps, the total area of the bases of the lamps is:
7 * π m^2
Finally, to find the lawn area, we subtract the area of the bases of the lamps from the total area of the park:
Lawn area = total area of the park - area of bases of the lamps
= 62500π m^2 - 7π m^2
= (62500 - 7)π m^2
= 62493π m^2
Therefore, the lawn area is approximately 62493π square meters.