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Top surface of a raised platform is in the shape of a regular octagon as shown in the figure. Find the area of the octagonal surface. - Mathematics

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प्रश्न

Top surface of a raised platform is in the shape of a regular octagon as shown in the figure. Find the area of the octagonal surface.

योग
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उत्तर

Area of octagon = Area of (ABDC) + Area of (CDFE) + Area of (EFHG)

= `{1/2 [(5+11) xx 4] + (11 xx 5) + 1/2 [(5 + 11) xx 4]}m^2`

= `{1/2 (16 xx 4) + 55 + 1/2 (16 xx4)}m^2`

= `{1/2 xx 64 + 5 + 1/2 xx 64}m^2`

= {32 + 55 + 32}m2

= 119m2

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अध्याय 11: Mensuration - Exercise 11.2 [पृष्ठ १७८]

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एनसीईआरटी Mathematics [English] Class 8
अध्याय 11 Mensuration
Exercise 11.2 | Q 9 | पृष्ठ १७८

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