Math Problem Statement

The diameter of the circle is 29 cm. What is the circumference of the circle? Give your answer in centimetres (cm) to 1 decimal place.

Solution

To find the circumference of the circle given the diameter, we can use the formula:

Circumference=π×diameter\text{Circumference} = \pi \times \text{diameter}

Given that the diameter is 29cm29 \, \text{cm}, we substitute:

Circumference=π×29cm\text{Circumference} = \pi \times 29 \, \text{cm}

Using π3.1416\pi \approx 3.1416:

Circumference3.1416×29=91.1064cm\text{Circumference} \approx 3.1416 \times 29 = 91.1064 \, \text{cm}

To one decimal place, the circumference is:

91.1cm\boxed{91.1 \, \text{cm}}

Would you like more details or have any questions?

Here are some related questions to further explore the topic:

  1. What would the circumference be if the diameter was doubled?
  2. How do you calculate the area of the circle using the given diameter?
  3. What is the relationship between the radius and the circumference?
  4. How does the circumference change if you increase the diameter by 10%?
  5. What happens to the circumference if the circle's radius is halved?

Tip: The circumference of a circle grows proportionally with the diameter, so doubling the diameter will double the circumference.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circles

Formulas

Circumference = π × diameter

Theorems

Theorem of circle circumference: The circumference of a circle is directly proportional to its diameter, with π as the proportionality constant.

Suitable Grade Level

Grades 6-8