Math Problem Statement

What is the circumference of a circle with a diameter of 152 mm?

Solution

To find the circumference of a circle, you can use the formula:

C=π×dC = \pi \times d

where CC is the circumference, π3.14159\pi \approx 3.14159, and dd is the diameter of the circle.

Given that the diameter dd is 152 mm, we can plug this value into the formula:

C=π×152mmC = \pi \times 152 \, \text{mm}

C3.14159×152mmC \approx 3.14159 \times 152 \, \text{mm}

C477.52268mmC \approx 477.52268 \, \text{mm}

Rounding to two decimal places, the circumference is approximately:

C477.52mmC \approx 477.52 \, \text{mm}

So, the circumference of the circle is about 477.52 mm.

Would you like more details or have any questions?

Here are 5 related questions for further practice:

  1. What is the circumference of a circle with a radius of 76 mm?
  2. How would you calculate the area of a circle with a diameter of 152 mm?
  3. If the circumference of a circle is 300 mm, what is its diameter?
  4. What is the circumference of a circle with a diameter of 250 mm?
  5. How do you convert the circumference from millimeters to centimeters?

Tip: The circumference of a circle can also be calculated using the radius with the formula C=2πrC = 2\pi r, where rr is the radius of the circle.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circle Geometry

Formulas

Circumference of a Circle: C = \pi \times d

Theorems

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Suitable Grade Level

Grades 7-9