Math Problem Statement

The diameter of a circle is 178 cm. Find the circumference to the nearest whole number.

Solution

To find the circumference of a circle, we use the formula:

C=π×dC = \pi \times d

where CC is the circumference, and dd is the diameter of the circle.

Given:

d=178cmd = 178 \, \text{cm} C=π×1783.1416×178559.22cmC = \pi \times 178 \approx 3.1416 \times 178 \approx 559.22 \, \text{cm}

Rounding to the nearest whole number:

C559cmC \approx 559 \, \text{cm}

So, the circumference is approximately 559 cm.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What is the formula for the area of a circle?
  2. How does the radius relate to the diameter?
  3. If the diameter is doubled, how does that affect the circumference?
  4. What is the circumference if the radius is given instead of the diameter?
  5. How can you calculate the arc length of a portion of a circle?

Tip: Always remember that the diameter is twice the radius, so you can find the circumference using either measurement!

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Math Problem Analysis

Mathematical Concepts

Geometry
Circumference of a Circle

Formulas

Circumference formula: C = π × d

Theorems

Relationship between diameter and circumference

Suitable Grade Level

Grades 6-8