True or false:
The radius of a circle is the chord.
We have hundreds of course questions with personalized recommendations + Account 100% premium
True or false:
The radius of a circle is the chord.
To solve this question, we must understand the definitions of the terms "radius" and "chord" in the context of a circle:
Given these definitions, observe the following points:
Hence, the statement that "The radius of a circle is the chord" is false because a radius does not fulfill the general definition of a chord, which requires two endpoints on the circle's circumference that do not include the center of the circle.
Therefore, the correct choice is False.
False
M is the center of the circle.
Perhaps \( MF=MC \)
A radius goes from the center to the edge of the circle, while a chord connects two points on the edge. Think of it like this: radius has one foot in the 'middle', chord has both feet on the 'rim'!
Yes! The diameter is a special chord that passes through the center. It's the longest possible chord in any circle, with length .
Absolutely! Most chords are longer than the radius. The diameter (the longest chord) is always twice the radius length. Only very small chords near the edge might be shorter than the radius.
Because a chord needs both endpoints on the circumference. The radius has one endpoint at the center and one on the circumference, so it doesn't meet the chord definition.
Think of Radius as 'Reach' from center to edge, and Chord as 'Connecting' two edge points. This way you'll never mix them up!
Get unlimited access to all 18 Circle questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime