Math Problem Statement
Find the circumference of the circle pictured above. Round your answer to the nearest hundredth.
Solution
The image shows a circle with a line representing the radius of the circle, labeled with a length of 4 units.
To find the circumference of a circle, we use the formula:
Where:
- is the circumference,
- is approximately 3.14159,
- is the radius of the circle.
Here, the radius .
Substituting this into the formula:
Rounding to the nearest hundredth, the circumference is:
Final Answer:
The circumference of the circle is approximately 25.13 units.
Would you like a detailed explanation of the steps, or do you have any further questions?
Here are 5 related questions to explore:
- What is the formula for the area of a circle, and how would you compute it with the same radius?
- How would the circumference change if the radius was doubled?
- Can you find the diameter of the circle given the radius?
- How would you calculate the arc length of a quarter of this circle?
- What is the relationship between the diameter and the circumference?
Tip: The diameter of a circle is always twice the radius, and the circumference can also be calculated as , where is the diameter.
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Math Problem Analysis
Mathematical Concepts
Geometry
Circumference
Circles
Formulas
C = 2πr
Theorems
Circumference of a Circle
Suitable Grade Level
Grades 6-8