A circular flower bed is 24 m in diameter and has a circular sidewalk around it that is 2 m wide. Find the area of the sidewalk
in the square meters.
1 answer:
The area of the sidewalk is 144.44 m².
The 2-m wide walk adds 4 m to the diameter, making it 21+4=25.
Since the radius is half the diameter, r = 25/2 = 12.5.
The area of the entire bed with walkway is 3.14(12.5)² = 490.625 m².
The diameter of the bed is 21, so the radius is 21/2 = 10.5.
The area of just the flower bed is 3.14(10.5)² = 346.185.
The difference between the two is 490.625-346.185 = 144.44 m². This is the area of the walkway.
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