
Which line segment is an example of a chord?
Answer
508.2k+ views
Hint: We know the different parts of the circle that are Radius, Chord, Diameter, Secant, Tangent and point of tangency. To answer this type of question we need to know the definition of all the mentioned parts.
Complete step-by-step answer:
Now we know that a line joining any two points on a circle is called chord.
But if we observe the given figure we can see that the line joining two points on a circle is EC.
Since we also know the definition of diameter. That is a chord that passes through the centre of the circle is called diameter. The diameter is the longest chord in the circle.
Hence EC is the chord of the given circle and also the diameter of the circle.
So, the correct answer is “EC”.
Note: We know that the area of the circle is \[ \Rightarrow \pi {r^2}\] square units, where r is the radius of the circle.
We also know that the length of the diameter is two times the length of a radius. That is \[ \Rightarrow d = 2r\] units. Using this relation we can find the radius if diameter is not given and vice versa.
Complete step-by-step answer:
Now we know that a line joining any two points on a circle is called chord.
But if we observe the given figure we can see that the line joining two points on a circle is EC.
Since we also know the definition of diameter. That is a chord that passes through the centre of the circle is called diameter. The diameter is the longest chord in the circle.
Hence EC is the chord of the given circle and also the diameter of the circle.
So, the correct answer is “EC”.
Note: We know that the area of the circle is \[ \Rightarrow \pi {r^2}\] square units, where r is the radius of the circle.
We also know that the length of the diameter is two times the length of a radius. That is \[ \Rightarrow d = 2r\] units. Using this relation we can find the radius if diameter is not given and vice versa.
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