Understanding the Difference Between Diameter and Chords in a Circle
Learn about the difference between the diameter and chords of a circle, including definitions and key characteristics.
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No, the diameter of a circle is not its chords. The diameter is a special type of chord that passes through the center of the circle and is the longest possible chord. Chords are line segments whose endpoints lie on the circle, but they do not necessarily pass through the center.
FAQs & Answers
- What is the definition of a diameter? The diameter is a line segment that passes through the center of a circle and connects two points on its circumference, being the longest possible chord.
- What are chords in a circle? Chords are line segments with both endpoints on the circumference of the circle; they do not necessarily pass through the center.
- Is the diameter a type of chord? Yes, the diameter is a special type of chord that specifically passes through the center of the circle.
- How do you find the length of a chord? The length of a chord can be calculated using specific formulas based on the radius and the angle subtended by the chord at the center, or by using coordinates if the circle's equation is known.