Diameter

The diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. It is the longest chord of the circle and is exactly twice the length of the radius. The diameter is an important measurement when studying circles and is used in various mathematical calculations and formulas.

Key Points

• The diameter of a circle is the longest chord that passes through the center of the circle.
• It is twice the length of the radius.
• The formula to calculate the diameter of a circle is: d = 2r, where d is the diameter and r is the radius.
• The diameter is used to calculate the circumference and area of a circle.

Study Guide

When studying the concept of diameter, it is important to understand the following:

1. Definition: What is the definition of diameter in relation to a circle?
2. Calculation: How is the diameter related to the radius of a circle? What is the formula to calculate the diameter?
3. Importance: Why is the diameter an important measurement in the study of circles? How is it used in various mathematical calculations and formulas?
4. Applications: What are some real-world applications or examples where the concept of diameter is used?

Practice Questions

1. Calculate the diameter of a circle if the radius is 5 cm.
2. If the diameter of a circle is 10 meters, what is the radius?
3. Explain the relationship between the diameter and the circumference of a circle.
4. What is the significance of the diameter in the context of engineering and construction?

By understanding the concept of diameter and practicing related problems, you can gain a strong grasp of its significance and applications in various fields.