The figure below shows a circular fountain in a park with a garden to be planted with flowers. The parks department wants to plant groups of 2 flowers in the ga
Mathematics
aworker2007
Question
The figure below shows a circular fountain in a park with a garden to be planted with flowers. The parks department wants to plant groups of 2 flowers in the garden per square foot. Garden 3 feet 18 feet Fountain Which is closest to the number of flowers needed to plant in the garden?
A 71 flowers
B. 141 flowers
C 156 flowers
D 255 flowers
E 284 flowers
A 71 flowers
B. 141 flowers
C 156 flowers
D 255 flowers
E 284 flowers
1 Answer

1. User Answers felipesierra213
Answer: The answer is 284.
Stepbystep explanation:
The area of the garden is an annulus whose,
Outer diameter = 18 ft
Inner diameter = 18 ft  2*3ft = 12 ft
Therefore,
Outer radius = 18/2 = 9 ft
Inner radius = 12/2 = 6 ft
Area of garden = Area of annulus
Area of garden = π*(9 ft)2  π * (6 ft)2
Area of garden = 142
Given:
2 flowers are planted per square foot.
Therefore for 142 ft2,
Number of flowers required = 2*142 = 284
The answer is 284.