Math Problem Statement

  1. If a circle has the diameter of 8, what is the circumference? A. 6.28 B. 12.56 C. 25.13 D. 50.24 E. 100.48

Solution

The formula for the circumference CC of a circle is given by:

C=π×dC = \pi \times d

where dd is the diameter of the circle.

Given the diameter d=8d = 8:

C=π×8=8πC = \pi \times 8 = 8\pi

Approximating π\pi as 3.14:

C8×3.14=25.12C \approx 8 \times 3.14 = 25.12

Thus, the closest answer is:

C. 25.13

Would you like more details or have any questions about this solution? Here are 5 questions you might consider next:

  1. How do you find the area of a circle if given the radius?
  2. What is the relationship between the radius and the diameter of a circle?
  3. How do you convert a circumference to a diameter?
  4. How does the formula for the circumference change if you use the radius instead of the diameter?
  5. Can you calculate the circumference using the exact value of π\pi instead of the approximation?

Tip: Remember that π\pi is an irrational number, and its exact value is crucial for precise calculations in higher-level mathematics.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circle properties

Formulas

Circumference of a circle formula

Theorems

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Suitable Grade Level

Grades 6-8