Question

The number of radii that can be drawn on a circle is:
A. 1
B. 2
C. finitely many
D. infinitely man

Answer 1

Hint: A radius of a circle can be drawn by joining the center of the circle to any point in the circle. Find how many 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 a point on the circumference of that circle. The distance between the center of the circle and its circumference is referred to as its radius.
We can draw as many radii to a point on the circle by joining the center. Thus every circle has an infinite number of radii. This is because the number of points on the circumference of the 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-ending a circle, then we would have the same length as the diameter. Thus the diameter of the circle is twice as long as the radius. So, infinitely many diameters can be formed in the circle.

Note:
You can find the number of radii that can be formed inside a circle by drawing a circle and marking the radii from the center of the circle to any point on the circle. If you count the radii, you might get many. So the circle will have infinitely many radii.