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If the side of an square is a, then find the side of the regular octagon that can be inscribed in this square.

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Important Questions on Geometry

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Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 117

"Find the value of angle x in a regular octagon as shown below

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Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 118
If each side of the octagon be a, then find the shortest diagonal of the octagon.
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Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 119
If each side of the octagon be a, then find the longest diagonal of the octagon.
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Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 120
If d1,d2,d3 be the three distinct diagonals of a regular octagon, such that d1<d2<d3, find the ratio of the inradius to the circumradius of the octagon.
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Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 121

In the following figure the regular octagon has some shaded area and some unshaded area. Find the ratio of the shaded area to the unshaded area.

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Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 122
The midpoints of alternating sides of a regular octagon are joined to form a square. If each side of the octagon is a, find each side of the square.
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Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 123
If each side of the octagon is a, find the area of the octagon.
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Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 124

In the following figure a square inscribes 4 congruent kites and 4 congruent isosceles triangles. The area of each kite is same as the area of each triangle. Find the ratio of the longer diagonal to the shorter diagonal of each kite

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