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

To find the area of the circular garden, we use the formula for the area of a circle: 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.

r = 7 1/4 feet
A = π(7 1/4)^2
A = π(53.0625)
A ≈ 166.83 square feet

Now, we need to calculate how many times 25 square feet goes into the total area of the garden:
166.83 / 25 ≈ 6.67

Joni will need to use 6.67 times 2 teaspoons of fertilizer for her entire garden:
6.67 * 2 = 13.34

Therefore, Joni will need approximately 13.3 teaspoons of fertilizer for her entire garden.