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

To calculate the circumference of a circle when given the radius, we use the formula:

C=2πrC = 2 \pi r

where:

  • CC is the circumference,
  • rr is the radius of the circle, and
  • π3.14159\pi \approx 3.14159.

In this problem, the radius rr is given as 11.411.4 meters.

Let's calculate it:

C=2×π×11.4C = 2 \times \pi \times 11.4

C2×3.14159×11.4C \approx 2 \times 3.14159 \times 11.4

C71.6meters (to 1 decimal place)C \approx 71.6 \, \text{meters (to 1 decimal place)}

Answer: The circumference of the circle is approximately 71.6m71.6 \, \text{m} to 1 decimal place.

Would you like more details or have any further questions?

Here are five related questions you might find interesting:

  1. What would the circumference be if the radius were doubled?
  2. How would the circumference change if we used a different value of π\pi, like 3.14?
  3. What is the area of a circle with the same radius?
  4. If the diameter of the circle were given instead, how would we find the circumference?
  5. How does the formula for circumference relate to the formula for the area of a circle?

Tip: Remember that doubling the radius of a circle will double the circumference as well, since the circumference formula is directly proportional to the radius.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circumference of a Circle

Formulas

Circumference formula: C = 2πr

Theorems

Circumference of a Circle Theorem

Suitable Grade Level

Grades 6-8