Is a radius a chord of a circle?
Answer
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Hint: A chord is a segment which joins two different points on the circle and a radius is a segment which joins a centre and a point on the circle. Using these definitions we get the required answer.
Step by step solution :
Consider a circle with centre O
In this circle AB is a chord
A chord is a line segment which joins any two points of a circle
But a radius is a line segment which joins the centre of the circle to any point on the circle
Hence here OP is the radius of the circle.
Therefore it is clear that a radius is not a chord of a circle.
Note :
1) A chord that passes through a circle's center point is the circle's diameter.
2) The radius of a circle is the length of the line from the center to any point on its edge. The plural form is radii.
3) The longest chord of a circle is its diameter.
Step by step solution :
Consider a circle with centre O
In this circle AB is a chord
A chord is a line segment which joins any two points of a circle
But a radius is a line segment which joins the centre of the circle to any point on the circle
Hence here OP is the radius of the circle.
Therefore it is clear that a radius is not a chord of a circle.
Note :
1) A chord that passes through a circle's center point is the circle's diameter.
2) The radius of a circle is the length of the line from the center to any point on its edge. The plural form is radii.
3) The longest chord of a circle is its diameter.
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