The perimeter of a circular lawn is 1232 m. There is 7 m wide path around the lawn. The area (in m²) of the path is:(Take π = $\frac{22}{7}$)

8778

We know that,

Perimeter = 2πr

Area of the path = π(R² - r²)

R = radius of the lawn including the path

r = radius of the lawn excluding the path

We have,

Perimeter of a circular lawn = 1232 m

2πr = 1232

= πr = 616

= \(\frac{22}{7}\) × r = 616

= r = 196

Radius with the path = 196 + 7 = 203

Area of the path = π(203² - 196²)

= \(\frac{22}{7}\) × 399 × 7= 8778