Math Problem Statement

What is the circumference of diameter 10cm[Take 22/7]

Solution

The circumference CC of a circle is calculated using the formula:

C=π×dC = \pi \times d

where:

  • π\pi is approximately 227\frac{22}{7},
  • dd is the diameter of the circle.

Given that the diameter d=10d = 10 cm, substituting the values into the formula:

C=227×10=220731.43cmC = \frac{22}{7} \times 10 = \frac{220}{7} \approx 31.43 \, \text{cm}

So, the circumference is approximately 31.43cm31.43 \, \text{cm}.

Would you like a deeper explanation or have any questions?


Here are 5 related questions:

  1. What would the circumference be if the diameter was 14 cm?
  2. How do you calculate the area of a circle using the diameter?
  3. What is the relationship between radius and diameter in a circle?
  4. How does the value of π\pi affect the circumference?
  5. Can the formula for circumference be derived from the area of a circle?

Tip: The diameter is always twice the radius in a circle.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circumference of a Circle

Formulas

Circumference formula: C = π × d

Theorems

Circumference of a circle using diameter

Suitable Grade Level

Grades 6-8