Math Problem Statement
The radius of a circle is 11.4 m. What is the circumference of the circle? Give your answer in metres (m) to 1 d.p.
Solution
The question asks for the circumference of a circle given the radius , and the answer should be rounded to 1 decimal place.
The formula for the circumference of a circle is: where is approximately .
Substituting : I'll calculate the exact value and round it to 1 decimal place.The circumference of the circle is approximately , rounded to 1 decimal place.
Would you like any further explanation on this calculation, or do you have any questions?
Here are some related questions to consider:
- How would the circumference change if the radius were doubled?
- What is the area of the circle given the same radius?
- Can you find the diameter of the circle from the given radius?
- How is the formula for circumference related to the formula for area?
- If the radius were given in centimeters, how would the circumference be expressed?
Tip: The ratio of the circumference to the diameter of any circle is always equal to .
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Math Problem Analysis
Mathematical Concepts
Geometry
Circumference of a Circle
Formulas
C = 2πr
Theorems
Relationship between Circumference and Radius
Suitable Grade Level
Grades 7-9