UGAT Bangalore: GeometryPolygons. Free, no login required.

Q1:

2025: Sample Paper

Geometry

Polygons

Hard

The perimeters of a regular hexagon and a regular octagon are equal. Find the ratio of the area of the octagon to that of the hexagon. [Use $\tan 67.5° = (\sqrt{2} + 1)$ ]

$\frac{\sqrt{6} + \sqrt{2}}{4}$

$\frac{\sqrt{6} + \sqrt{3}}{3}$

$\frac{\sqrt{6} + \sqrt{2}}{2}$

$\frac{\sqrt{6} + \sqrt{3}}{4}$

Correct Answer

Option 4

Correct Answer

Explanation

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Q1:

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