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In a dart the reflex angle is 216° and the angle opposite the reflex angle is 72°. If each of the shorter sides of the dart is 1 cm, find the perimeter of the dart, in cm.

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Important Questions on Geometry

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Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 83

In the following figure, the only reflex angle of the dart is 216° and the second largest angle is 72°. If each of the two smaller sides is 1 cm and each of the two larger sides is (1+5)2, find the area of the dart, in sq. cm.

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Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 84

In the following quadrilateral ABCD, the four mid-points P, Q, R, S are joined in such a way that the quadrilateral is divided into six parts.

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The ratio of the quadrilaterals  □ASOP□POQB, □OORCQ □ SDRO is 4: 5: 7: 6 and the ratio of ∆ASP and ∆RCQ is 2: 5. If S is joined to R and P is joined to Q, find the ratio of □PQRS and □ABCD.

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Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 85
In a rhombus ABCD,∠ADC:∠BCD=1:2 and EF: BD=1: 3, where E and F lie on the diagonal BD, inside the rhombus, such that □AECF is a quadrilateral. Find the ratio of areas of □AECF:□ABCD.
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Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 86
An isosceles trapezium whose parallel sides are in the ratio 1: 4. It inscribes a circle that touches all the sides of the trapezium. If the sum of the two parallel sides is 70 cm, find the circumference of the inscribed circle.
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Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 87
A 7×24 rectangular thin wall has a 2×2 square shaped window in such a way that the intersection of diagonals of rectangle and the intersection of diagonals of square coincide with each other. Which one of the following is correct?
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Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 88
A trapezium inscribes a circle that touches all its sides and the line connecting the mid-points of the non-parallel sides of the trapezium divides the trapezium in such a way that the area of one part is half the area of the other part. If the lengths of the non-parallel sides be 8 cm and 16 cm, find the length of the shortest side of the trapezium.
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Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 89
A point O lies inside a square ABCD such that OA=3, OB=4 and OD=5, find the value of OC.
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Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 90
In a ∆ABC,CP and BQ intersect each other at R inside the triangle, where P and Q lie on the sides AB and AC respectively. ∠BAC=50°,∠ABC=70°,∠ACB=∠APQ and PC=BC. Find ∠PBQ.