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Area problems

  • 1. 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
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  • 2. The height of the equilateral triangle is 9 cm. What is the radius (in cm) of the circle circumscribing the three vertices?

  • Options
  • A. 3
  • B. 6
  • C. 9
  • D. 12
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  • 3. 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
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  • 4. 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°
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  • 5. 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
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  • 6. 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 2:5, and area of ? APQ is 4 sq cm, what is the area of trapezium PQCB?

  • Options
  • A. 49 sq cm
  • B. 45 sq cm
  • C. 25 sq cm
  • D. 21 sq cm
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  • 7. The length of a string is 8 feet and 9 inches, which is divided into 3 equal parts. What is the length of each part in inches?

  • Options
  • A. 31
  • B. 33
  • C. 35
  • D. 37
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  • 8. The side of an equilateral triangle is 14 cm. Find its area (in sq.cm).

  • Options
  • A. 64?3
  • B. 49?2
  • C. 64?2
  • D. 49?3
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  • 9. If the perimeter of a semi-circle is 36 cm, then find its radius (in cm).

  • Options
  • A. 7
  • B. 14
  • C. 13
  • D. 26
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  • 10. The length of the diagonal of a rectangle is 26 cm and that of one side is 10 cm. What is the area of this rectangle?

  • Options
  • A. 260 sq cm
  • B. 120 sq cm
  • C. 130 sq cm
  • D. 240 sq cm
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