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 r=11.4mr = 11.4 \, \text{m}, and the answer should be rounded to 1 decimal place.

The formula for the circumference CC of a circle is: C=2πrC = 2 \pi r where π\pi is approximately 3.141593.14159.

Substituting r=11.4mr = 11.4 \, \text{m}: C=2×3.14159×11.4C = 2 \times 3.14159 \times 11.4 I'll calculate the exact value and round it to 1 decimal place.The circumference of the circle is approximately 71.6m71.6 \, \text{m}, 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:

  1. How would the circumference change if the radius were doubled?
  2. What is the area of the circle given the same radius?
  3. Can you find the diameter of the circle from the given radius?
  4. How is the formula for circumference related to the formula for area?
  5. 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 π\pi.

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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