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The longest chord of circle is equal to ...

The longest chord of circle is equal to its

A

radius

B

diameter

C

circumference

D

perimeter

Text Solution

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The correct Answer is:
To solve the question, "The longest chord of a circle is equal to its," we need to understand the properties of a circle and its chords. ### Step-by-Step Solution: 1. **Understanding Chords**: A chord is a line segment with both endpoints on the circle. The longest chord in a circle is the one that passes through the center of the circle. 2. **Identifying the Longest Chord**: The longest chord of a circle is called the diameter. This is because the diameter connects two points on the circle and passes through the center, making it longer than any other chord. 3. **Relationship Between Diameter and Radius**: The diameter is twice the length of the radius. If we denote the radius as 'r', then the diameter (d) can be expressed as: \[ d = 2r \] 4. **Conclusion**: Since the longest chord is the diameter, we can conclude that the longest chord of a circle is equal to its diameter. ### Final Answer: The longest chord of a circle is equal to its **diameter**. ---
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