Sum

There is a path of uniform width 7 m round and outside a circular garden of diameter 210 m. Find the area of the path.

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#### Solution

Diameter = 210 m

Radius of inner circle r_{2 }= 105 m

Width = 7m

Radius of outer circle r_{1} = 105 + 7 = 112 m

∴ Area of path = `pir_1^2 - pir_2^2`

= `pi[r_1^2 - r_2^2]`

= `22/7(r_1 + r_2)(r_1 + r_2)`

= `22/7 (112 + 105)(112 - 105)`

= `22/7 xx 217 xx 7`

= 4774 m^{2}

Concept: Area of Circle

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