Question
Use Structure Ting is making a circular garden with a radius of
6 feet. How far across is the garden at its widest point? What is the
length of edging material to the nearest hundredth needed to enclose
the garden? Use 3.14 for
.
6 feet. How far across is the garden at its widest point? What is the
length of edging material to the nearest hundredth needed to enclose
the garden? Use 3.14 for
Ask by Ortega Summers. in the United States
Mar 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The garden is 12 feet across at its widest point. The length of edging material needed is 37.68 feet.
Solution
Step 1: Find the Diameter
The diameter
of a circle is given by:
For a radius
feet:
Step 2: Find the Circumference (Length of Edging Material)
The circumference
of a circle is given by:
Using
and
feet:
Final Answers:
- The garden is 12 feet across at its widest point.
- The length of edging material needed is 37.68 feet.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Extra Insights
The widest point of the circular garden, also known as the diameter, is calculated by multiplying the radius by 2. So, for a garden with a radius of 6 feet, the diameter is
feet.
To find the length of the edging material needed to enclose the garden, we can use the formula for the circumference of a circle, which is
. Plugging in the radius and using 3.14 for
:
So, you would need approximately 37.68 feet of edging material to go around your beautiful circular garden.