Math Problem Statement

The diameter of a circle is 56 cm. Find the circumference to the nearest whole number.

Solution

The formula to calculate the circumference CC of a circle is:

C=π×dC = \pi \times d

where dd is the diameter of the circle.

Given that the diameter d=56cmd = 56 \, \text{cm}, we can substitute this into the formula:

C=π×56C = \pi \times 56

Using π3.1416\pi \approx 3.1416:

C3.1416×56=175.9296cmC \approx 3.1416 \times 56 = 175.9296 \, \text{cm}

Rounding to the nearest whole number, the circumference is approximately:

C176cmC \approx 176 \, \text{cm}

Would you like further details or have any questions?

Here are 5 related questions:

  1. What is the area of the same circle?
  2. If the radius of a circle is given instead, how would you find the circumference?
  3. How does the circumference change if the diameter is doubled?
  4. What would be the circumference if the diameter was 72 cm?
  5. How do you derive the formula for the circumference of a circle?

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

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Math Problem Analysis

Mathematical Concepts

Geometry
Circle
Circumference

Formulas

Circumference of a circle: C = π × d

Theorems

The circumference of a circle is directly proportional to its diameter

Suitable Grade Level

Grades 6-8