MATH SOLVE

8 months ago

Q:
# If Laura garden is shaped like a circle sector with radius 62 feet and central angle 47° if shrubs are planted every 3 feet along the border of the garden how many shrubs are needed

Accepted Solution

A:

16 shrubs are neededStep-by-step explanation:GivenAngle = x = 47 degreeR = 62 feetThe 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 feetAs the plants have to planted every 3 feet that means the distance between consecutive plants will be 3 feetSo total plants:[tex]Shrubs\ needed=\frac{Arc\ length}{3}\\=\frac{50.62}{3}\\=16.87\ shrubs[/tex]Hence,16 shrubs are neededKeywords: Circle, ArcLearn more about circle at:brainly.com/question/7490805brainly.com/question/7449065#LearnwithBrainly