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CuriousTab

Area problems


  • 1. Find measure of central angle of the arc whose length is 22 cm and radius of the circle is 28 cm?

  • Options
  • A. 60°
  • B. 45°
  • C. 75°
  • D. 90°
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  • 2. The area of an equilateral triangle is 9?3 sq cm, find its perimeter?

  • Options
  • A. 18 cm
  • B. 9 cm
  • C. 9?3 cm
  • D. 6?3 cm
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  • 3. ABCD is a kite where m?A is 90° and m?C is 60°. If length of AB is 6 cm, what is the length of diagonal AC?

  • Options
  • A. 6(?2+?3) cm
  • B. 2(?3+?6) cm
  • C. 2(?2+?3) cm
  • D. 3(?2+?6) cm
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  • 4. A rectangular swimming pool of length 20 m and breadth 10 m has a uniformly sloping floor. It is 1 m in depth on one end of its length and 3 m at the other. How much water is needed to completely fill this pool? (Take ? = 22/7)

  • Options
  • A. 800 cubic metres
  • B. 300 cubic metres
  • C. 480 cubic metres
  • D. 400 cubic metres
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  • 5. Find the radius of the circle if the area of its sector is 30.8 sq cm whose corresponding central angle is 72°?

  • Options
  • A. 3.5 cm
  • B. 7 cm
  • C. 14 cm
  • D. 10.5 cm
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  • 6. What is the measure of central angle of the arc whose length is 11 cm and radius of the circle is 14 cm?

  • Options
  • A. 45°
  • B. 60°
  • C. 75°
  • D. 90°
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  • 7. A cylindrical vessel of height 5 cm and radius 4 cm is completely filled with sand. When this sand is poured out it forms a right circular cone of radius 6 cm. What will be the height of this cone? (Take ? = 22/7)

  • Options
  • A. 6.67 cm
  • B. 2.22 cm
  • C. 3.33 cm
  • D. 1.67 cm
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  • 8. Point P is the midpoint of segment AB. Co-ordinates of point P are (2,1) and point A are (11,5). Co-ordinates of point B are

  • Options
  • A. (-7,-3)
  • B. (6.5,3)
  • C. (7,3)
  • D. (-6.5,-3)
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  • 9. In ? ABC, the median AD is 6 cm and CB is 12 cm, measure of angle CAB is

  • Options
  • A. 90°
  • B. 30°
  • C. 60°
  • D. 120°
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  • 10. If the sum of the measures of all the interior angles of polygon is 2340°. What is the number of sides of the polygon?

  • Options
  • A. 13
  • B. 15
  • C. 17
  • D. 11
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