Math Problem Statement

If the diameter of a circle is 156, what is the circumference of the circle?

Solution

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

C=π×dC = \pi \times d

where:

  • CC is the circumference,
  • π\pi is approximately 3.14159,
  • dd is the diameter.

Given:

  • d=156d = 156 units,

Now, calculate the circumference:

C=π×1563.14159×156490.09 unitsC = \pi \times 156 \approx 3.14159 \times 156 \approx 490.09 \text{ units}

So, the circumference of the circle is approximately 490.09 units.

Would you like more details or have any questions about this problem?

Here are 5 related questions for further practice:

  1. What is the circumference of a circle with a diameter of 200 units?
  2. If the radius of a circle is 78 units, what is the circumference?
  3. How do you calculate the area of a circle if the diameter is given?
  4. If a circle has a circumference of 314.16 units, what is its diameter?
  5. What is the difference in circumference between two circles with diameters of 156 units and 100 units?

Tip: Remember that the circumference of a circle is directly proportional to its diameter; doubling the diameter doubles the circumference.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Circle Properties

Formulas

Circumference of a circle formula: C = π × d

Theorems

-

Suitable Grade Level

Grades 6-8