flower bed is surrounded by a path 4 m wide. The diameter of flower bed is 66 m. What is the area of this path? Take pie = 3.14
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Solution:
Diameter of the flower bed = 66 m .
∴ Radius = 662 = 33 m
Let r1 = 33 m
Width of the path = 4 m
Radius of the flower bed included path
= 33 m + 4 m = 37m
Let r2 = 37m
Area of the circular path = π(r22−r21)
= 3.14 (372– 332)
= 3.14 × (37 + 33) (37 – 33) [Y a2 – b2 = (a + b)(a-b)]
= 3.14 × 70 × 4 = 879.20 m2
Hence, the required area = 879.20 m2
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