Math Problem Statement

If the diameter of a circle is 58, what is the circumference of the circle?

Solution

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

C=π×dC = \pi \times d

Where:

  • CC is the circumference
  • π\pi (pi) is approximately 3.14159
  • dd is the diameter

Given:

  • d=58d = 58

Now, substitute the value of the diameter into the formula:

C=π×583.14159×58182.212C = \pi \times 58 \approx 3.14159 \times 58 \approx 182.212

So, the circumference of the circle is approximately 182.212 units.

Would you like more details or have any questions?

Here are 5 related questions:

  1. How would you find the radius of the circle if the diameter is 58?
  2. If the radius of a circle is 29, what would be its circumference?
  3. How does the circumference change if the diameter is doubled?
  4. What is the area of the circle with a diameter of 58?
  5. How does the formula for circumference relate to that of the area of a circle?

Tip: Remember that the circumference is always directly proportional to the diameter, meaning if you double the diameter, the circumference also doubles.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circle

Formulas

Circumference of a circle: C = π × d

Theorems

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Suitable Grade Level

Grades 7-9