Math Problem Statement
Calculate the diameter of a circle with a circumference of 37 cm using the formula d = C ÷ π, where π = 3.14.
Solution
To calculate the diameter (d) of the circle, we can use the formula:
where:
- (the circumference of the circle),
- .
Now, let's calculate the diameter:
I'll compute this value.The diameter of the circle is approximately , rounded to the nearest tenth.
Would you like more details on this calculation or have any questions?
Here are 5 related questions you might find useful:
- How do you calculate the radius from the diameter?
- What is the difference between circumference and diameter?
- How can you use the diameter to find the area of a circle?
- How does using a more accurate value for change the result?
- How do you derive the formula for circumference?
Tip: Always remember that is an irrational number, so its value is infinite. Using 3.14 is a common approximation for basic calculations.
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Math Problem Analysis
Mathematical Concepts
Geometry
Circles
Formulas
d = C ÷ π
Theorems
Circumference-Diameter relationship
Suitable Grade Level
Grades 6-8