DIAMETER
Definition Of Diameter
Diameter is a line segment that passes through the center of a circle with both its endpoints lying on the circle.
More About Diameter
A diameter is the longest chord of a circle.
A diameter is double the radius of a circle.
Example of Diameter
In the circle shown, the line segments AB and PQ are the diameters of the circle. Notice that they have their endpoints on the circle and that both of them pass through the center O of the circle.
Video Examples: How to Convert Diameter Into Feet : Math Conversions
Solved Example on Diameter
Ques: Sunny bought a circular ring of diameter 32 cm. Find the radius of the ring.
Choices:
A. 64 cm
B. 32 cm
C. 16 cm
D. 8 cm
Correct Answer: C
Solution:
Step 1: Diameter of a circle = 2 × radius.
Step 2: Therefore, radius = 
.
Quick Summary
- Diameter is the longest chord of a circle.
- Diameter is double the radius of a circle.
🍎 Teacher Insights
Use real-world examples like pizza or wheels to illustrate the concept. Have students draw circles and measure their diameters and radii.🎓 Prerequisites
- Circle
- Radius
- Center of a circle
- Line segment
Check Your Knowledge
Q1: A circle has a radius of 8 cm. What is its diameter?
Q2: The diameter of a circle is 32 cm. What is the radius?
Frequently Asked Questions
Q: Is the diameter always twice the radius?
A: Yes, the diameter is always twice the length of the radius in any circle.
Q: Can a circle have more than one diameter?
A: Yes, a circle has infinitely many diameters.