Question

a path 14cm surrounds a circular lawn whose radius is 180cm find the area of the path​

Answer 1

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Hey Mate!!

Given,

Radius of lawn (r) = 180 cm

Width of path = 14 cm

⇒ Radius of path (R) = 180 + 14 = 196 cm

Area of Path = (Area of lawn including path) - (Area of lawn)

⇒ πR² - πr²

⇒ π(R² - r²)

⇒ π(196² - 180²)

⇒ π[(196 + 180)(196 - 180)]

⇒ π(376 × 16)

⇒ π × 6016

⇒ 3.14 × 6016

→ 18890.24 cm²