Question

A garden has a circular border and a fountain in the center. I measured the distance from one side of the garden to the other, going through the center of the fountain, and found that it was 1.2 feet. How long is the border of the garden? Round your estimate to the nearest whole number and include units.

Answer 1

Answer:

The length of the border is approximately 4 feet.

Step-by-step explanation:

Since the garden has a circular border we can apply the formula for the circle's length, which is shown below:

$length = 2*\pi*radius$

Where the radius is half the diameter. The diameter is the distance between two points in the circle going through the center, therefore for this garden the diameter is 1.2 feet and the radius is 0.6 feet. Applying this to the formula gives us:

$length = 2*\pi*0.6\\length = 1.2*\pi\\length = 3.8$

The length of the border is approximately 4 feet.