Math Problem Statement
The diameter of a circle is 34 m. Find the circumference to the nearest tenth.
Solution
To find the circumference of a circle, we use the formula:
where:
- is the circumference,
- is the diameter of the circle.
Given:
- The diameter meters.
Now, substituting the values:
Using :
Rounding to the nearest tenth:
So, the circumference of the circle is approximately 106.8 meters.
Would you like any further details or have any questions? Here are a few related questions to explore:
- How does the formula for the circumference change if the radius is given instead of the diameter?
- What would the area of this circle be, given the same diameter?
- How can we derive the formula for the circumference using the radius instead of the diameter?
- How does the relationship between the diameter and the circumference help us understand π?
- What happens to the circumference if the diameter is doubled?
Tip: Remember that the circumference is proportional to the diameter, meaning that if the diameter increases, the circumference increases in direct proportion.
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Math Problem Analysis
Mathematical Concepts
Geometry
Circle
Circumference
Formulas
C = πd
Theorems
-
Suitable Grade Level
Grades 6-8