It is not clear whether you want the formula of some aspect (area or circumference) of a circle when given its radius or a formula for its radius when given some characteristic measure of the circle.
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The word radious should never be used in a sentence since its spelling is incorrect and it is not possible to determine whether the intention was to write radius or radios.
R = radius c = chord length s = curve length c = 2Rsin(s/2R) you can solve for radius by trial and error as this is a transcendental equation
It is the radious. I'm pretty sure
The perimeter of a rectangle is the sum of its 4 sides.
The radius of a circle is a straight line from the centre of the circle to its circumference.