Question
The figure shows a star formed by 5 identical isosceles triangles and a regular pentagon CEGIK (which is a 5-sided polygon with equal sides). Given that O is the centre of the star, length OS = 8 m and KC = CE = EG = GI = IK = 12 m, find the area of the star.
3 m

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The figure shows a star formed by 5 identical isosceles triangles and a regular pentagon CEGIK (which is a 5-sided polygon with equal sides). Given that O is the centre of the star, length OS = 8 m and KC = CE = EG = GI = IK = 12 m, find the area of the star.