Joni has a circular garden with a diameter of 14 1 2 feet. If she uses 2 teaspoons of fertilizer for every 25 square feet of garden, how much fertilizer will Joni need for her entire garden? Round to the nearest tenth.

Answer 1

First, we need to find the area of the circular garden. The formula for the area of a circle is A = πr^2, where r is the radius of the circle. Since the diameter is 14 1/2 feet, the radius is half of that, which is 7 1/4 feet.

So, the area of the circular garden is:

A = π(7 1/4)^2
A = π(105 1/4)
A ≈ 22/7 * 105.25
A ≈ 330.953 square feet

Now, we need to calculate how many teaspoons of fertilizer Joni will need for her entire garden. She needs 2 teaspoons for every 25 square feet, so we can set up a proportion:

2 teaspoons / 25 square feet = x teaspoons / 330.953 square feet

Cross multiplying, we get:

25x = 2 * 330.953
25x = 661.906
x ≈ 26.476

So, Joni will need approximately 26.5 teaspoons of fertilizer for her entire garden.