the side of a square plot is 25 m.a circular flower bed at the centre has a radius 7m and a lawn of 1m width along its sides. find the remaining area of the plot. also find the area of 1m path around central circular bed.
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A circular flower bed is surrounded by a path 4m width. The diameter of the flower bed is 66m. What is the area of this path?(Take π=3.14)
Diameter of the circular flower bed=66m
∴ Radius of circular flower bed(r)=266=33m
∴ Radius of circular flower bed with 4 m wide path(R)=33+4=37m
According to the question,
Area of path=Area of bigger circle−Area of smaller circle
=πR2−πr2=π(R2−r2)
=π[(37)2−(33)2]
=3.14[(37+33)(37−33)] [∵a2−b2=(a+b)(a−b)]
=3.14×70×4
=879.20m2.
Therefore, the area of the path is 879.20m2.
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