A groundskeeper needs grass seed to cover a circular field, 290 feet in diameter. A store sells bags of grass seed that weigh 50-pounds each. One pound of grass seed covers about 400 square feet of field. What is the smallest number of bags the groundskeeper must buy to cover the circular field?
Answers
Answer:
4 bags
Step-by-step explanation:
A = r²
A = 3.14 * 145² = 66,018.5 ft²
66,018.5 ÷ 400 ≈ 165.05 lb.
165.05 ÷ 50 ≈ 3.3 bags or 4 bags
Given : A groundskeeper needs grass seed to cover a circular field, 290 feet in diameter . A bag weigh 50-pounds . One pound of grass seed covers about 400 square feet of field
To find : What is the smallest number of bags the groundskeeper must buy to cover the circular field
Solution:
A groundskeeper needs grass seed to cover a circular field, 290 feet in diameter
Radius = Diameter/2 = 290/2 = 145 ft
Area of Circular field = πr²
= 3.14 * (145)² sq feet
= 66018.5 sq feet
one pound of grass seed covers = 400 sq feet
50 pounds of grass seed covers = 50 * 400 = 20000 sq feet
1 bag weigh 50 pounds
Hence 1 bag of grass seed covers = 20000 sq feet
Number of bags required = Total Area of Circular field/ Area covered by 1 bag
= 66018.5 /20000
= 3.3
Bags will be integer numbers
Hence minimum 4 bags will be required to cover the circular field
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