A park is in the form of a square one of whose sides is 50 m The area of the park excluding the circ...........

Quantitative Aptitude ( CCS) Mensuration 2D

A park is in the form of a square one of whose sides is 50 m. The area of the park excluding the circular lawn in the centre of the park is 1884 m². The radius of the circular lawn is ?

21 m

31 m

41 m

14 m

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Explanation:

Answer & Explanation
Answer – 4. 14 m
Explanation :
Area of park = 50 x 50 = 2500 m²
Area of circular lawn = Area of park – area of park excluding circular lawn
= 2500 – 1884
= 616
Area of circular lawn = (22/7) x r² = 616 m²
⇒ r² = (616 x 7) / 22
= 28 x 7
= 2 x 2 x 7 x 7
∴ r = 14 m