A circular pond has area equal to 616 m2. A circular stage is made at…

Question

A circular pond has area equal to 616 m2. A circular stage is made at the centre of the pond whose radius is equal to half the radius of the pond. What is the area where water is present ?

Accepted Answer

Option B. 462 sq. m. Answer & Solution Answer: Option B Solution: Let the radius of the pond be R metres Then, & R^2 = 616 & R^2 = 616 × 722 & R^2 = 196 & R = 14\,m Radius of the stage : & = ( 142 )m & = 7\,m ∴ Area where water is present : & = ( 14^2 - 7^2 )m^2 & = ( 227 × 21 × 7 )m^2 & = 462\,m^2