At a certain location on the Earth surface, the intensity of sunlight is $$1.00\ \text{kW m}^{-2}$$. A perfectly reflecting concave mirror, of radius of curvature $$R$$ and aperture radius $$r$$, is facing the Sun to produce the light intensity of $$100\ \text{kW m}^{-2}$$ at the image. Knowing that the disc of the Sun subtends an angle of $$0.01\ \text{radian}$$ at the Earth surface, the relation between $$R$$ and $$r$$ is