How many radii are there? Name all the radii in a circle.
Answer
649.8k+ views
Hint: A radius of a circle can be drawn by joining the center of the circle to any point in the circle. Then find the number of radii that can be drawn like this, so as to find the number of radii.
Complete step-by-step answer:
Radii is a collective term given to straight lines which connect the center of a circle with points on the circumference referred to as its radius.
We can draw many radii to any point on the circle by joining the center of the circle. Thus every circle has an infinite number of radii. This is because the number of points on the circumference of a circle is infinite. So there can be an infinite number of lines joining them to the center.
If we are placing 2 radii end-to-end in a circle, then we would have the same length as one diameter. Thus, the diameter of a circle is twice as long as the radius, so infinitely many diameters can also be formed in a circle.
Note: We can also find the number of radii that can be formed inside a circle by drawing a circle and making the radii from the center of the circle to any point on the circle. If we count the radii, we might get many. So the circle will have infinitely many radii.
Complete step-by-step answer:
Radii is a collective term given to straight lines which connect the center of a circle with points on the circumference referred to as its radius.
We can draw many radii to any point on the circle by joining the center of the circle. Thus every circle has an infinite number of radii. This is because the number of points on the circumference of a circle is infinite. So there can be an infinite number of lines joining them to the center.
If we are placing 2 radii end-to-end in a circle, then we would have the same length as one diameter. Thus, the diameter of a circle is twice as long as the radius, so infinitely many diameters can also be formed in a circle.
Note: We can also find the number of radii that can be formed inside a circle by drawing a circle and making the radii from the center of the circle to any point on the circle. If we count the radii, we might get many. So the circle will have infinitely many radii.
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