Question

A square park has each side of 100 m. At each corner of the park there is a flower bed in the form of a quadrant of radius 14 . Find the area of the remaining park.

Answer 1

area of park- area of garden= the remaining area

${100}^{2} - {14}^{2} = 9804 {m}^{2}$

Answer 2

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∴ Ar.(remaining part) = 9384 m²

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Given :

r = 14 m

side of square park = 100 m

Solution :

∴ Ar.(4 quadrants) = 4 x ¼πr²

= ²²⁄₇ x 14 x 14

= 44 x 14

∴ Ar.(4 quadrants) = 616 m²

∴ Ar.(square park) = (side)²

= (100)²

∴ Ar.(square park) = 10,000 m²

∴ Ar.(remaining part) = Ar.(square park) - Ar.(4 quadrants)

= 10,000 - 616

∴ Ar.(remaining part) = 9384 m²

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