What is the circumference of a circle?
A. the length of a line passing across the circle through the center
B. the length of a line from the center to any point on the circle
C. the distance around the outside of the circle
D. the amount of space contained within the circle
Answer (2)
The circumference of a circle is the distance around the outside of the circle.
The other options describe the diameter, radius, and area of the circle, respectively.
The correct answer is the distance around the outside of the circle.
Therefore, the circumference is the distance around the outside of the circle: the distance around the outside of the circle .
Explanation
Analyze the options. The question asks us to identify the correct definition of the circumference of a circle from the given options. Let's analyze each option:
Option 1: the length of a line passing across the circle through the center - This describes the diameter of the circle, not the circumference.
Option 2: the length of a line from the center to any point on the circle - This describes the radius of the circle, not the circumference.
Option 3: the distance around the outside of the circle - This is the correct definition of the circumference.
Option 4: the amount of space contained within the circle - This describes the area of the circle, not the circumference.
Identify the correct definition. Based on the analysis, the correct definition of the circumference of a circle is the distance around the outside of the circle.
State the final answer. The circumference of a circle is the distance around the outside of the circle.
Examples
Understanding the circumference of a circle is useful in many real-world situations. For example, if you're building a circular fence around a garden, knowing the circumference helps you determine how much fencing material you need. Similarly, if you're calculating how far a bicycle travels with each rotation of the wheels, you're using the concept of circumference. The formula for the circumference C of a circle with radius r is given by:
C = 2 π r
where π (pi) is approximately 3.14159. This formula allows you to easily calculate the circumference if you know the radius of the circle.
The circumference of a circle is the distance around the outside of the circle. This is confirmed by analyzing the definitions provided in the options. Therefore, the correct answer is option C.
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