Math Problem Statement

If the circumference of a circle is 264 cm, then diameter of the circle is

Solution

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

C=π×dC = \pi \times d

where CC is the circumference and dd is the diameter. Rearranging the formula to solve for the diameter:

d=Cπd = \frac{C}{\pi}

Given that the circumference CC is 264 cm:

d=264 cmπ264 cm3.141684 cmd = \frac{264 \text{ cm}}{\pi} \approx \frac{264 \text{ cm}}{3.1416} \approx 84 \text{ cm}

So, the diameter of the circle is approximately 84 cm.

Would you like more details or have any questions?


Here are 5 related questions to consider:

  1. What would be the radius of the circle if the diameter is 84 cm?
  2. How do you calculate the area of a circle if the diameter is known?
  3. If the radius is halved, what happens to the circumference?
  4. What is the relationship between the diameter and the area of a circle?
  5. How would the diameter change if the circumference were doubled?

Tip: Remember, the diameter is always twice the radius of the circle!

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Math Problem Analysis

Mathematical Concepts

Geometry
Circle properties

Formulas

Circumference formula: C = π × d
Diameter formula: d = C / π

Theorems

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Suitable Grade Level

Grades 6-8