A circular garden is surrounded by a path 4m wide. the diameter of the circular garden is 64m. What is the area of the circular path
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Step-by-step explanation:
Diameter of the circular flower bed=66m
∴ Radius of circular flower bed(r)= 66/2 =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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