Question

joni has a circular garden with a diameter of 14.5 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 your answer to the nearest tenth. enter your solution with no label.

Explanation:

Step1: Calculate the radius of the circular garden

The diameter \(d = 14.5\) feet. The radius \(r=\frac{d}{2}=\frac{14.5}{2}=7.25\) feet.

Step2: Calculate the area of the circular garden

The area formula for a circle is \(A=\pi r^{2}\). Substitute \(r = 7.25\) into the formula: \(A=\pi\times(7.25)^{2}\approx3.14\times52.5625 = 164.05625\) square feet.

Step3: Calculate the amount of fertilizer

She uses 2 teaspoons for every 25 square feet. Let \(x\) be the amount of fertilizer. Set up a proportion \(\frac{x}{164.05625}=\frac{2}{25}\). Cross - multiply: \(25x=2\times164.05625\). Then \(x=\frac{2\times164.05625}{25}=\frac{328.1125}{25}=13.1245\approx13.1\)

Answer:

13.1