Math Problem Statement
The diameter of a circle is 169 in. Find the circumference to the nearest whole number.
Solution
To find the circumference of a circle, we use the formula:
where:
- is the circumference,
- is the diameter,
- is approximately .
Given that the diameter , we substitute this into the formula:
Rounded to the nearest whole number:
So, the circumference of the circle is approximately 531 inches.
Would you like any further details or explanations on this?
Here are a few related questions:
- How would the circumference change if the diameter were doubled?
- What is the area of a circle if the diameter is 169 inches?
- How do you derive the formula for the circumference of a circle?
- What is the relationship between the radius and diameter of a circle?
- How can the circumference be calculated using the radius instead of the diameter?
Tip: If you ever need to estimate for rough calculations, using as an approximation is often good enough!
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Math Problem Analysis
Mathematical Concepts
Geometry
Circles
Circumference
Formulas
C = π × d
Theorems
Circumference of a circle formula
Suitable Grade Level
Grades 6-8
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