Question

a circular flower bed is surrounded by path 4m wide. the diameter of the flower is 66m . what is the area of the path​

Answer 1

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

Step-by-step explanation:

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