A circular flower bed is surrounded by a path
2 m wide,the diameter of the flower bed is 44
m,find the area of path.
Answers
Answer:
288.8m^2
Step-by-step explanation:
3.14((48/2)^2-(44/2)^2)
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10th
Maths
Areas Related to Circles
Circumference and Area of Circle
A circular flower bed is su...
MATHS
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)
1646536
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ANSWER
Diameter of the circular flower bed=66m
∴ Radius of circular flower bed(r)=
2
66
=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
=πR
2
−πr
2
=π(R
2
−r
2
)
=π[(37)
2
−(33)
2
]
=3.14[(37+33)(37−33)] [∵a
2
−b
2
=(a+b)(a−b)]
=3.14×70×4
=879.20m
2
.
Therefore, the area of the path is 879.20m
2
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