16 shrubs are needed
Step-by-step explanation:
Given
Angle = x = 47 degree
R = 62 feet
The formula to calculate the arc length is:
[tex]A = \frac{x}{360} * (2*\pi *r)\\[/tex]
Putting the value of angle
[tex]A=\frac{47}{360}*(2*3.14*62)\\=0.130*389.36\\=50.62\ feet[/tex]
The border of the garden is in arc shape with length 50.62 feet
As the plants have to planted every 3 feet that means the distance between consecutive plants will be 3 feet
So total plants:
[tex]Shrubs\ needed=\frac{Arc\ length}{3}\\=\frac{50.62}{3}\\=16.87\ shrubs[/tex]
Hence,
16 shrubs are needed
Keywords: Circle, Arc
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