Math Problem Statement

Lily used a compass to draw a circle as shown in the figure above. What was the circumference of the circle? (Take π as 3.14)

Solution

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

C=2πrC = 2 \pi r

Where:

  • CC is the circumference
  • π\pi is approximately 3.14
  • rr is the radius of the circle

From the image, we see that the radius r=3cmr = 3 \, \text{cm}.

Substituting the given values:

C=2×3.14×3=18.84cmC = 2 \times 3.14 \times 3 = 18.84 \, \text{cm}

Thus, the circumference of the circle is 18.84cm18.84 \, \text{cm}.

Would you like any further details or clarifications? Here are some related questions:

  1. How is the formula for the circumference of a circle derived?
  2. What are some other formulas related to circles?
  3. How would the circumference change if the radius were doubled?
  4. What is the difference between the circumference and the area of a circle?
  5. How can you calculate the area of a circle using its radius?

Tip: Remember that π\pi is an irrational number, so it is often approximated as 3.14, but its exact value has infinite decimal places.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circles
Circumference

Formulas

Circumference formula: C = 2πr

Theorems

Properties of Circles

Suitable Grade Level

Grades 5-6