The area of a circular park is 12474 m2. There is 3.5 m wide path around the park. What is the area (in m2) of the path ? (Take π = $\frac{22}{7}$)
Answer & explanation
Correct answer: option 1
We know that,
Area of circle = πr2
Given,
Area of a circular park = 12474 m2
Width of the path = 3.5 m
= πr2 = 12474
= r2 = 12474 × \(\frac{7}{22}\)
= r2 = 81 × 49
= r = 63 m
New radius = R = 63 m + 3.5 m = 66.5 m
Area of the path = πR2 - πr2 = \(\frac{22}{7}\) × 66.5 × 66.5 - 12474
= 13898.5 - 12474
= 1424.5 m2