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  • Question
  • In the given figure, PQRS is a square of side 8 cm. PQO = 60 deg. What is the area (in sq.cm) of the triangle POQ?


  • Options
  • A. 32√3
  • B. 24[(√)-1]
  • C. 48[(√3)-1]
  • D. 16[3-(√3)]

  • Correct Answer
  • 16[3-(√3)] 


  • Area problems


    Search Results


    • 1. In the given figure, in a right angle triangle ABC, AB = 12 cm and AC = 15 cm. A square is inscribed in the triangle. One of the vertices of square coincides with the vertex of triangle. What is the maximum possible area (in cm.sq) of the square?

    • Options
    • A. 1296/49
    • B. 25
    • C. 1225/36
    • D. 1225/64
    • Discuss
    • 2. In the given figure, PQ is a diameter of the semicircle PABQ and O is its center. AOB = 64 deg. BP cuts AQ at X. What is the value (in deg) of AXP?

    • Options
    • A. 36
    • B. 32
    • C. 58
    • D. 54
    • Discuss
    • 3. A line cuts two concentric circles. The lengths of chords formed by that line on the two circles are 4 cm and 16 cm. What is the difference (in cm2) in squares of radii of two circles?

    • Options
    • A. 240
    • B. 120
    • C. 60
    • D. 90
    • Discuss
    • 4. In a triangle PQR, PX, QY and RZ be altitudes intersecting at O. If PO = 6 cm, PX = 8 cm and QO = 4 cm, then what is the value (in cm) of QY?

    • Options
    • A. 6.3
    • B. 5.8
    • C. 6
    • D. 7
    • Discuss
    • 5. In the given figure, if QR/XY = 14/9 and PY = 18 cm, then what is the value (in cm) of PQ?

    • Options
    • A. 28
    • B. 18
    • C. 21
    • D. 24
    • Discuss
    • 6. In the given figure, two squares of sides 8 cm and 20 cm are given. What is the area (in sq.cm) of the shaded part?

    • Options
    • A. 120/7
    • B. 160/7
    • C. 180/7
    • D. 240/13
    • Discuss
    • 7. The area of a regular hexagon is equal to the area of the square. What is the ratio of the perimeter of the regular hexagon to the perimeter of square?

    • Options
    • A. 63 : 36
    • B. 23 : 62
    • C. 63 : 2
    • D. 63 : 23
    • Discuss
    • 8. ABCDEF is a regular hexagon of side 12 cm. What is the area (in cm2) of the triangle ECD?

    • Options
    • A. 18?3
    • B. 24?3
    • C. 36?3
    • D. 42?3
    • Discuss
    • 9. In the given figure, four identical semicircles are drawn in a quadrant. XA = 7 cm. What is the area (in sq.cm) of shaded region?

    • Options
    • A. 70
    • B. 140
    • C. 77
    • D. 84
    • Discuss
    • 10. A cube is placed inside a cone of radius 20 cm and height 10 cm, one of its face being on the base of the cone and vertices of opposite face touching the cone. What is the length (in cm) of side of the cube?

    • Options
    • A. 5
    • B. 6
    • C. 8
    • D. 9
    • Discuss


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