Question

`The area of a circular park is 12474 m^{2} . There is3.5 m wide path around the park. What is the area(in m^{2}) of the path? (Take π=22/7) `​

Answer 1

Answer: ​1424.5

Step-by-step explanation:

Area of a circular park = 12474 m²

Width of the path = 3.5 m

Formulas used:

Area of circle = nr²

Area of the path= Area of the park with path - Area of the park

Calculation:

Area of the park = 12474 m²

tr2= 12474

r² = 12474 x 7/22=81 x 49

⇒r= 63 m

New radius with the width of the park = R = 63 m+ 3.5 m = 66.5 m

Area of the path = nR²-nr²

⇒ 22/7 x 66.5x66,5-12474

⇒13898.5-12474

⇒1424.5 m²