Geometry

Which of the following graph indicates the graph of {(sin t, cos t):- π/2 ≤ t ≤ 0} in xy-plane ?

Answer : C. b

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What is the radius of the circular plate of thickness 1 cm made by melting a sphere of radius 3 cm ?

Answer : A. 6 cm

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In triangle PQR, PQ = 6 cm, PR = 8 cm, and QR = 12 cm. Calculate the area of the triangle PQR ?

Answer : C. 21.33 cm2

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If the perimeter and the diagonal of a rectangle is 18 cm and √41 cm respectively.Calculate the area of the rectangular field ?

Answer : D. 20 cm2

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Find the area of Rhombus one of whose diagonals measures 8 cm and the other 10 cm ?

Answer : C. 40 cm2

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Determine the metal required to make a 21 m long pipe if its inner and outer diameter is 12 m and 10 m respectively ?

Answer : A. 725 m3

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An oblong piece of ground measures 19m 2.5dm by 12m 5dm.From center of each side of the ground, a path 2m wide goesacross to the center of the opposite side.What is the area of the path ?

Answer : C. 78.54 m2

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A square field of area 31684 m2 is to be enclosed with the wireplaced at height 1 m, 2 m, 3 m, 4 m above the ground. What length of the wire will be required if its length required for each circuit is 5% greater than the perimeter of the field ?

Answer : C. 2990.4 m

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A rectangular grassy plot is 112 m by 78 m. It has a gravel path 2.5 m m wide all around it on the inside. Find the area of the path ?

Answer : B. 925 m²

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A polygon has 77 diagonals. Determine the number of sides ?

Answer : D. 14

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