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 = $\frac{22}{7}$)
Answer & explanation
Correct answer: option 1
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