The circumference of a given circular park is 55 m. It is surrounded by a path of uniform width 3.5 m. Find the area of the path.

Let `r` be the radius of the circular park. Circumference = 2πr ⇒ 2πr = 55 ⇒ 2 x x r = 55 ⇒ x r = 55 ⇒ r = ⇒ r = ⇒ r = ⇒ r = 8.75 m Radius of outer park = radius of park + width of the path = 8.75 \+ 3.5 m = 12.25 m Area of the path = Area of outer park \- Area of circular park = π (12.25) 2 \- π (8.75) 2 m 2 = 150.0625π \- 76.5625π m 2 = 73.5 π m 2 = 73.5 x m 2 = 10.5 x 22 m 2 = 231 m 2 Hence, the area of the path is 231 m 2 .

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Mathematics

The circumference of a given circular park is 55 m. It is surrounded by a path of uniform width 3.5 m. Find the area of the path.

Mensuration

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