The radius of a circular-shaped park is 40 m. A path of width 7 m. is

1.	The radius of a circular-shaped park is 40 m. A path of width 7 m. is played around outside the park. Find the area of the circular path.
Answer» Given the radius of a park r = 40 m Area of inner circle = πr² = \(\frac {22}{7} \times 40 \times 40\) ^{= \(\frac{35200}{7}\)} = Area of outer circle = πr² = \(\frac{22}{7} \times 47\times47\) ^{=\(\frac {48,598} {7}\) = 6942.57 sq.m} Area of the path = Outer circle area – Inner circle area = 6942.57 – 5028.57 ∴ Area of circular path = 1914 sq.m

The radius of a circular-shaped park is 40 m. A path of width 7 m. is played around outside the park. Find the area of the circular path.

Answer»

Given the radius of a park r = 40 m

Area of inner circle = πr²

= \(\frac {22}{7} \times 40 \times 40\)

^{= \(\frac{35200}{7}\)}

= Area of outer circle = πr²

= \(\frac{22}{7} \times 47\times47\)

^{=\(\frac {48,598} {7}\) = 6942.57 sq.m}

Area of the path = Outer circle area – Inner circle area

= 6942.57 – 5028.57

∴ Area of circular path = 1914 sq.m