A dome contains \(2.5\times10^{100}\) identical regular triangular glass panels.
If the area of a single panel is \(285\text{ cm}^2\), find the length of the triangular glass panel.[2]
Calculate the total surface area of the dome in standard form.[2]
A contractor is designing a glass panel using a regular triangle, a regular octagon and a regular n-sided polygon. The diagram shows an incomplete figure made up of these three polygons.
The three polygons fit together without any gaps or overlaps. Find the value of n.[2]
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