Math Problem Statement

The radius of a circle is 3 cm. Find its circumference in terms of piπ.

Solution

The circumference CC of a circle is given by the formula:

C=2πrC = 2\pi r

where rr is the radius of the circle.

Given that the radius rr is 3 cm, we can substitute this value into the formula:

C=2π×3=6π cmC = 2\pi \times 3 = 6\pi \text{ cm}

So, the circumference of the circle in terms of π\pi is 6π6\pi cm.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What is the area of the circle with the same radius of 3 cm?
  2. How would the circumference change if the radius were doubled?
  3. What is the diameter of the circle, and how does it relate to the circumference?
  4. If the radius of the circle were increased to 5 cm, what would the new circumference be?
  5. Can you express the circumference of the circle in terms of the diameter instead of the radius?

Tip: Remember that the circumference of a circle is directly proportional to its radius, so doubling the radius 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: C = 2\pi r

Theorems

-

Suitable Grade Level

Grades 6-8