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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. - Mathematics

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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= 105 m

Width = 7m

Radius of outer circle r1 = 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 m2

Concept: Area of Circle
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 20 Area of a Trapezium and a Polygon
Exercise 20 (D) | Q 9 | Page 234
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