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Lisa has a garden in the shape of a circle.  The diameter of the garden is 16.25 feet. If she uses 3 teaspoons of plant foot for every 4 square feet, how much plant food will Lisa need for her entire garden?Group of answer choices100 teaspoons156 teaspoons52 teaspoons207 teaspoons

Question

Lisa has a garden in the shape of a circle.  The diameter of the garden is 16.25 feet. If she uses 3 teaspoons of plant foot for every 4 square feet, how much plant food will Lisa need for her entire garden?Group of answer choices100 teaspoons156 teaspoons52 teaspoons207 teaspoons

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Solution

First, we need to find the area of the circular garden. The formula for the area of a circle is πr², where r is the radius of the circle. The radius is half of the diameter, so in this case, it is 16.25/2 = 8.125 feet.

So, the area of the garden is π*(8.125)² = 207.345 square feet (rounded to three decimal places).

Next, we need to find out how much plant food is needed for this area. Lisa uses 3 teaspoons of plant food for every 4 square feet. So, for 207.345 square feet, she will need (207.345/4)*3 = 155.50875 teaspoons.

Rounding to the nearest whole number, Lisa will need approximately 156 teaspoons of plant food for her entire garden. So, the correct answer is 156 teaspoons.

This problem has been solved

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