Two circles, $$\(C_{1}\)$$ and $$\(C_{2}\)$$, are drawn on a centimetre grid, with a scale of $$\(1 \mathrm{~cm}\)$$ for 1 unit on each axis. The centre of circle $$\(C_{1}\)$$ is at the point with coordinates $$\((-1,3)\)$$ and the radius of $$\(C_{1}\)$$ is $$\(13 \mathrm{~cm}\)$$. The centre of circle $$\(C_{2}\)$$ is at the point with coordinates $$\((7,18)\)$$ and the radius of $$\(C_{2}\)$$ is $$\(6 \mathrm{~cm}\)$$. (a) Work out the distance between the centre of $$\(C_{1}\)$$ and the centre of $$\(C_{2}\)$$ $$\(\mathrm{cm}\)$$ (3) (b) Explain why circle $$\(C_{1}\)$$ intersects circle $$\(C_{2}\)$$ (1)

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