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Question
How many radii can a circle have?
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Solution
Radius is the line drawn from the centre of the circle to any point on the boundary of the circle.
- We cannot count the number of points on the boundary line of the circle as there are many.
- So there will be many line segments that connect the centre and any point on the boundary of the circle.
- Thus, a circle has uncountable number of radii. In other words we can say there are infinite number of radii in a circle.
Infinite number of lines can pass through the centre and join the boundary.
- We cannot count the number of points on the boundary line of the circle as there are many.
- So there will be many line segments that connect the centre and any point on the boundary of the circle.
- Thus, a circle has uncountable number of radii. In other words we can say there are infinite number of radii in a circle.
Infinite number of lines can pass through the centre and join the boundary.
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