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Area problems

  • 1. 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
  • 2. 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
  • 3. 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
  • 4. 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
  • 5. 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
  • 6. A right circular cylinder has height 28 cm and radius of base 14 cm. Two hemispheres of radius 7 cm each are cut from each of the two bases of the cylinder. What is the total surface area (in cm2) of the remaining part?

  • Options
  • A. 3842
  • B. 4312
  • C. 3296
  • D. 4436
    • Discuss
  • 7. The length of the diagonal and the breadth of a rectangle are 25 cm and 7 cm respectively. Find its perimeter (in cm).

  • Options
  • A. 124
  • B. 41
  • C. 82
  • D. 62
    • Discuss
  • 8. If a regular polygon has 6 sides then the measure of its interior angle is greater than the measure of its exterior angle by how many degrees?

  • Options
  • A. 90°
  • B. 100°
  • C. 60°
  • D. 108°
    • Discuss
  • 9. The curved surface area and the slant height of a right circular cone are 99 sq.cm and 9 cm respectively. Find its diameter (in cm)

  • Options
  • A. 3.5
  • B. 7
  • C. 14
  • D. 10.5
    • Discuss
  • 10. What is the measure of an interior angle of a regular decagon?

  • Options
  • A. 120°
  • B. 140°
  • C. 144°
  • D. 150°
    • Discuss

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