Math Problem Statement
How much trim is needed to surround two circular gardens that each have a diameter of 13 feet? Use 3.14 for pi.
Solution
To determine how much trim is needed to surround two circular gardens, we need to find the circumference of each garden and then multiply by 2 for the total amount of trim.
The formula for the circumference of a circle is:
where is the circumference and is the diameter of the circle.
Given:
- Diameter
Now, calculate the circumference for one garden:
Since there are two gardens, multiply by 2:
Thus, 81.64 feet of trim is needed to surround both gardens.
Would you like more details or have any questions?
Here are five related questions for further exploration:
- What is the area of each circular garden?
- How would the amount of trim change if the diameter was 15 feet instead?
- How much trim would be required for three circular gardens of the same size?
- What would the trim length be for a garden with a diameter of 20 feet?
- What is the relationship between the diameter and circumference of a circle?
Tip: For larger calculations, rounding to 3.1416 provides a more accurate result.
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Math Problem Analysis
Mathematical Concepts
Geometry
Circumference of a Circle
Multiplication
Formulas
Circumference formula: C = π × d
Theorems
Relationship between diameter and circumference: C = πd
Suitable Grade Level
Grades 6-8
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