Measurements Important Questions

8th Standard EM

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Maths

Time : 01:00:00 Hrs
Total Marks : 50
    5 x 1 = 5
  1. The ratio between the circumference and diameter of any circle is_______ 

    ()

    π

  2. The longest chord of a circle is __________.

    ()

    diameter

  3. A part of circumference of a circle is called as ________.

    ()

    an arc

  4. The meeting point of more than two edges is called as ______.

    ()

    Vertex

  5. If a net of a 3-D shape has six plane squares, then it is called ______.

    ()

    Cube

  6. 5 x 1 = 5
  7. Area of a circle

  8. (1)

    πr2

  9. Area of the sector of a circle

  10. (2)

    Cylinder

  11. Area of a quadrant of a circle

  12. (3)

    Square Pyramid

  13. (4)

    \(\frac { 1 }{ 4 } { \pi r }^{ 2 }\)

  14. (5)

    \(=\frac { { \theta }^{ 0 } }{ { 360 }^{ 0 } } \times { \pi r }^{ 2 }\)

    9 x 2 = 18
  15. For the sectors with given measures, find the length of the arc, area and perimeter.(π=3.14)
    (i) central angle 45º , r = 16 cm
    (ii) central angle 120º, d =12.6 cm
    (iii) central angle 60º, r =36 cm
    (iv) central angle 72º, d =10 cm

  16. Find the central angle of each of the sectors whose measures are given below. \(\left( \pi =\frac { 22 }{ 7 } \right) \)

    S.No area (A) length of the arc (l) radius (r)
    (i) 462 cm2 - 21 cm
    (ii) 18.48 cm2 - 8.4 cm
    (iii)   44 m 35 m
    (iv) - 22 mm 105 mm
  17. Find the area of a sector whose length of the arc is 50 mm and radius is 14 mm.

  18. Find the area of a sector whose perimeter is 64 cm and length of the arc is 44 cm.

  19. Find the perimeter and area of the combined figures given below. \(\left( \pi =\frac { 22 }{ 7 } \right) \)

  20. Find the area of the combined figure given, formed by joining a semicircle
    of diameter 6 cm with a triangle of base 6 cm and height 9 cm. ( π = 3.14 )

  21. Which 3-D shapes do the following nets represent? Draw them.

  22. Draw the net for the cube of side 4 cm in a graph sheet.

  23. In a rectangular field which measures 15 m × 8m, cows are tied with a rope of length 3m at four corners of the field and also at the centre. Find the area of the field where none of the cow can graze. (π = 3.14)

  24. 4 x 3 = 12
  25. The radius of a sector is 21cm and its central angle is 120 °. Find the length of the arc

  26. The radius of a sector is 21cm and its central angle is 120 °. Find perimeter of sector.

  27. Find the central angle and area of a palm leaf fan (sector) of radius 10.5 cm and whose perimeter is 43 cm \(\left( \pi =\frac { 22 }{ 7 } \right) \)

  28. From the three vertices of an equilateral triangle of side 12 cm, Nishanth cuts sectors of 5 cm radius each and forms the following shape. Find the area of that shape. (π=3.14)

  29. 2 x 5 = 10
  30. Find the perimeter and area of the given Fig.2.27. \(\left( \pi =\frac { 22 }{ 7 } \right) \)

  31. A key-chain is in the form of an equilateral triangle and a semicircle attached to a square of side 5 cm as shown in the Fig.2.30. Find its area.(π=3.14, √3=1.732)

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