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A circle will have different radii but they will all be the same length?
Yes, all radii of a circle have the same length. One often thinks of the radius as being this length.
How many radiuses does a circle have?
The plural of 'radius' is 'radii', not 'radiuses'. A circle has an infinite number of radii, but they are all of the same length.
Is all radii of a circle equal?
Yes, providing that each radius is in the same circle
Is all radii of a circle are congruent?
Yes, all of the radii in a single circle are congruent.
Why is the diameter of a circle always twice the length of the radius?
A circle is the locus of points that are equidistant from a fixed point. As a result, all radii of the circle must be of the same length. A diameter is a straight line that goes from the circumference to the centre and on to the circumference on the other side. Thus it is a radius from the circumference to the centre and then another radius from the centre to the circumference. And since these are the same, it is 2 radii in length.
