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Area problems

  • 1. The length of the radius of the circumference of a triangle having sides 9 cm, 12 cm and 15 cm is

  • Options
  • A. 6 cm
  • B. 7.5 cm
  • C. 4.5 cm
  • D. 8 cm
    • Discuss
  • 2. From a square plate with each side 7 cm, squares of area 0.25 sq. cm are cut out at each corner and the remaining plate is folded along the cuts to form a cuboid. The volume of this open-top cuboid will be ......... . cub.cm

  • Options
  • A. 21
  • B. 16
  • C. 18
  • D. 20
    • Discuss
  • 3. A quadrilateral is inscribed in a circle. If the opposite angles of the quadrilateral are equal and length of its adjacent sides are 6 cm and 8 cm, what is the area of the circle?

  • Options
  • A. 64? sq cm
  • B. 25? sq cm
  • C. 36? sq cm
  • D. 49? sq cm
    • Discuss
  • 4. Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of AP:PB is 2:3, and area of ? APQ is 8 sq cm, what is the area of trapezium PQCB?

  • Options
  • A. 50 sq cm
  • B. 18 sq cm
  • C. 42 sq cm
  • D. 14 sq cm
    • Discuss
  • 5. A solid copper sphere of radius 9 cm is melted and reformed into a wire of radius 1 mm. What will be the length of this wire? (Take ? = 22/7)

  • Options
  • A. 1166.4 metres
  • B. 1458 metres
  • C. 777.6 metres
  • D. 972 metres
    • Discuss
  • 6. The cost of leveling a triangular piece of land whose sides are 72 m. 30 m and 78 in respectively at the rate of 20 paisa per square metre is:

  • Options
  • A. Rs. 220
  • B. Rs. 200
  • C. Rs. 216
  • D. Rs. 210
    • Discuss
  • 7. The angles of a triangle are in the ratio 1 : 1 : 4. If the perimeter of the triangle is k times its largest side, then what is the value of k?

  • Options
  • A. 1 + 2/?3
  • B. 1 - 2/?3
  • C. 2 + 2/?3
  • D. 2
    • Discuss
  • 8. What is the area (in sq cm) of an equilateral triangle of side 6 cm?

  • Options
  • A. 36?3
  • B. 9
  • C. 36
  • D. 9?3
    • Discuss
  • 9. In a triangle the length of the side opposite the right angle is 9?3 cm, what is the length of the side opposite to the angle which measures 30 degree?

  • Options
  • A. 9 cm
  • B. 3?3 cm
  • C. 6 cm
  • D. (9?3)/2 cm
    • Discuss
  • 10. The area of an equilateral triangle is 9?3 sq cm, find height of the triangle?

  • Options
  • A. 6 cm
  • B. 6?3 cm
  • C. 3?3 cm
  • D. 9 cm
    • Discuss

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