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ICSE Class 8 Answered

A window pane is the shape of regular octagon. Find the cost of polishing the window pane at 2.50 permetre square.
Asked by Panneerselvam15 | 07 Jan, 2019, 06:21: PM
answered-by-expert Expert Answer
side of regular octagon is not given in the question. Let us assume the side of regular octagon is a m.
 
As shown in figure octagon can be divided into 8 triangles similar to ΔOBC and the angles are shown in figure.
 
Area of octagon = 8×(1/2)×a×h = 8×(1/2)×a×(a/2)×tan67.5  ≈  a2 × 4.83 m2
Cost of polishing = a2 × 4.83 × 2.5 = 12.08×a2
Answered by Thiyagarajan K | 08 Jan, 2019, 04:46: PM

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