Diagram NOT accurately drawn $$\(A B\)$$ is a sector $$\(\mathbf{S}\)$$ of a circle with centre $$\(O\)$$ and radius $$\((r+7)\)$$ metres. Angle $$\(A O B=45^{\circ}\)$$ A circle $$\(\mathbf{C}\)$$ has radius $$\((r-2)\)$$ metres. The area of sector $$\(\mathbf{S}\)$$ is twice the area of circle $$\(\mathbf{C}\)$$ Find the value of $$\(r\)$$ Show your working clearly. $$\(r=\)$$

Answer:

Knowledge points:

Solution: