Sunflowers are to be planted inside a circular flower garden so that there are 4 sunflower plants per square foot. The circumference of the garden is 20 feet. If sunflowers are available only in packs of 6, how many packs of 6 flowers are needed?
(1) 20 (2) 10 (3) 40 22 (4)
Answers
Answer:
22
Step-by-step explanation:
The first step is to determine the area of the garden. Since the circumference is 20 feet, the radius is fraction numerator 20 over denominator 2 pi end fraction equals fraction numerator 10 over denominator pi end fraction and the area is pi r to the power of 2 end exponent or pi left parenthesis fraction numerator 10 over denominator pi end fraction right parenthesis to the power of 2 end exponent equals fraction numerator 100 over denominator pi end fraction square feet. If there are 4 marigolds per square foot, 4 times fraction numerator 100 over denominator pi end fraction marigolds are needed. To find out how many packs of 6 flowers are needed, divide fraction numerator 400 over denominator pi end fraction by 6. The result is 21.22; thus, 22 packs would be needed.