Jared is going to plant 20 small plants around the edge of a circular garden that is 8 feet in diameter. If he spaces the plants evenly, how much distance will be between the plants?

The space between the plants is approximately 1.26ft

Step-by-step explanation:

Given

Circular Garden

Number of plants = 20

Diameter of garden = 8ft

First, the circumference of the garden needs to be calculated; This is so because the plants that will be placed at the edge of the garden will occupy the circumference of the circle.

Calculating the circumference ...

Circumference = 2πr

Where r = radius

r = ½ * diameter.

r = ½ * 8ft

r = 4ft

So,

Circumference = 2π * 4

Circumference = 8π ft

Given that the plants will be spaced evenly.

The distance between them = Circumference : Number of plants

Distance = 8π/20

Distance = 0.4π ft.

Solving further to get actual distance (take π as 22/7)

Distance = 0.4 * 22/7

Distance = 8.8/7

Distance = 1.2571428571 ft

Distance = 1.26ft (Approximated)

Hence, the space between the plants is approximately 1.26ft