A circular park whose diameter is 210 m has a 5 m wide path running around it (on the outside). What is the area (in m²) of the path?

1075π

We know that,

Area of circle = πr²

Area of path = π(R² – r²)

Diameter = 210

Then the radius of park (r) = 105

Combine radius  (R) = 105 + 5 = 110

= π (110² – 105²)

= π(110 + 105) (110 – 105) = 215 × 5 × π = 1075 π