10th Class Mathematics Areas Related to Circles Question Bank

done Case Based MCQs - Areas Related to Circles Total Questions - 30

• question_answer1)

  Directions: Q. 1 to 5

  A farmer has a rectangular field of length 60 m and breadth 30 m. By the farmer a pit of diameter 14 m is dug 12 m deep to make a well. The earth taken out is spread in the field.

  Based on the above information, answer the following questions.

  Find the volume of the earth taken out.
  A)
  \[1460{{m}^{3}}\] done clear
  B)
  \[1462{{m}^{3}}\] done clear
  C)
  \[1848{{m}^{3}}\] done clear
  D)
  \[1850{{m}^{3}}\] done clear
  View Solution play_arrow

• question_answer2)
  The area of the rectangular field is
  A)
  \[1420{{m}^{2}}\] done clear
  B)
  \[1430{{m}^{2}}\] done clear
  C)
  \[1840{{m}^{2}}\] done clear
  D)
  \[1800{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer3)
  Find the area of the top of the pit.
  A)
  \[38.5{{m}^{2}}\] done clear
  B)
  \[40.5{{m}^{2}}\] done clear
  C)
  \[41.5{{m}^{2}}\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer4)
  The area of the remaining field is
  A)
  \[1402.3{{m}^{2}}\] done clear
  B)
  \[1184{{m}^{2}}\] done clear
  C)
  \[1646{{m}^{2}}\] done clear
  D)
  \[411.5{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer5)
  Find the level rise in the field.
  A)
  0.5m done clear
  B)
  3m done clear
  C)
  1.12m done clear
  D)
  2.12m done clear
  View Solution play_arrow

• question_answer6)
   

  Directions: Q. 6 to 10

  Pookalam is the flower bed or flower pattern designed during Onam in Kerala. It is similar as Rangoli in North India and Kolam in Tamil Nadu. During the festival of Onam , your school is planning to conduct a Pookalam competition. Your friend who is a partner in competition, suggests two designs given below.

  Observe these carefully.

  Design I This design is made with a circle of radius 32 cm leaving equilateral triangle ABC in the middle as shown in the given figure.

  Design II This Pookalam is made with 9 circular design each of radius 7 cm.

  Refer Design I

  The side of equilateral triangle is

  A)
  \[12\sqrt{3}\,cm\] done clear
  B)
  \[32\sqrt{3}\,cm\] done clear
  C)
  48cm done clear
  D)
  64cm done clear
  View Solution play_arrow

• question_answer7)
  The altitude of the equilateral triangle is
  A)
  8 cm done clear
  B)
  12cm done clear
  C)
  48cm done clear
  D)
  52cm done clear
  View Solution play_arrow

• question_answer8)

  Refer Design II

  The area of square is

  A)
  \[1264\text{ }c{{m}^{2}}\] done clear
  B)
  \[1764\text{ }c{{m}^{2}}\] done clear
  C)
  \[1830\text{ }c{{m}^{2}}\] done clear
  D)
  \[1944\text{ }c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer9)

  Refer Design II

  Area of each circular design is

  A)
  \[124c{{m}^{2}}\] done clear
  B)
  \[132c{{m}^{2}}\] done clear
  C)
  \[144c{{m}^{2}}\] done clear
  D)
  \[154c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer10)

  Refer Design II

  Area of the remaining portion of the square ABCD is

  A)
  \[378\text{ }c{{m}^{2}}\] done clear
  B)
  \[~260\text{ }c{{m}^{2}}\] done clear
  C)
  \[340c{{m}^{2}}\] done clear
  D)
  \[278c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer11)
   

  Directions: Q. 11 to 15

  There is a race competition between all participants of a sports club, so that the sports committee can choose better person for a marathon. The race track in the club is in the form of a ring whose inner most circumference 176 m and the outer most circumference is 352 m.

  Based on the above information, answer the following questions.

  Find the radius of the outer most circle.
  A)
  48m done clear
  B)
  49m done clear
  C)
  50m done clear
  D)
  56m done clear
  View Solution play_arrow

• question_answer12)
  Find the radius of the inner most circle.
  A)
  28m done clear
  B)
  40m done clear
  C)
  42m done clear
  D)
  44m done clear
  View Solution play_arrow

• question_answer13)
  Find the width of the track.
  A)
  17m done clear
  B)
  28m done clear
  C)
  19m done clear
  D)
  10m done clear
  View Solution play_arrow

• question_answer14)
  Find the area of the race track.
  A)
  \[7010{{m}^{2}}\] done clear
  B)
  \[7392{{m}^{2}}\] done clear
  C)
  \[8000{{m}^{2}}\] done clear
  D)
  \[9002{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer15)
  If the cost of painting on the race track is Rs 5 per m 2, find the total cost for painting the whole race track.
  A)
  Rs 36960 done clear
  B)
  Rs 36430 done clear
  C)
  Rs 3580 done clear
  D)
  None of the above done clear
  View Solution play_arrow

• question_answer16)
   

  Directions: Q. 16 to 20

  A brooch is a small piece of jewellery which has a pin at the back so it can be fastened on a dress, blouse or coat.

  Designs of some brooch are shown below. Observe them carefully.

  Design A Brooch A is made with silver wire in the form of a circle with diameter 28 mm. The wire used for making 4 diameters which divide the circle into 8 equal parts.

  Design B Brooch b is made two colours Gold and silver. Outer part is made with Gold. The circumference of silver part is 44 mm and the gold part is 3mm wide everywhere.

  Refer to Design A

  (i) The total length of silver wire required is

  A)
  180mm done clear
  B)
  200mm done clear
  C)
  250mm done clear
  D)
  280mm done clear
  View Solution play_arrow

• question_answer17)

  Refer to Design A

  The area of each sector of the brooch is

  A)
  \[44m{{m}^{2}}\] done clear
  B)
  \[52m{{m}^{2}}\] done clear
  C)
  \[77m{{m}^{2}}\] done clear
  D)
  \[68m{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer18)

  Refer to Design B

  The circumference of outer part (golden) is

  A)
  48.49mm done clear
  B)
  82.2mm done clear
  C)
  72.50mm done clear
  D)
  62.86mm done clear
  View Solution play_arrow

• question_answer19)

  Refer to Design B

  (iv) The difference of areas of golden and silver parts is

  A)
  \[18\pi \,m{{m}^{2}}\] done clear
  B)
  \[44\pi \,m{{m}^{2}}\] done clear
  C)
  \[51\pi \,m{{m}^{2}}\] done clear
  D)
  \[64\pi \,m{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer20)

  Refer to Design B

  A boy is playing with brooch B. He makes revolution with it along its edge. How many complete revolutions must it take to cover 80 K mm ?

  A)
  2 done clear
  B)
  3 done clear
  C)
  4 done clear
  D)
  5 done clear
  View Solution play_arrow

• question_answer21)
   

  Directions: Q. 21 to 25

  Committee of a club select a round glass trophy for awarding best director in film festival. Design of each trophy is made as shown in the figure, where its base PQRS is golden plated from the front side and painted at the rate of Rs 5 per\[c{{m}^{2}}\].

  Find the area of sector OSRO.
  A)
  \[254\text{ }c{{m}^{2}}\] done clear
  B)
  \[348\text{ }c{{m}^{2}}\] done clear
  C)
  \[344.5c{{m}^{2}}\] done clear
  D)
  \[346.5c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer22)
  Find the area of \[\Delta POQ\]
  A)
  \[210c{{m}^{2}}\] done clear
  B)
  \[420.5c{{m}^{2}}\] done clear
  C)
  \[418.2\text{ }c{{m}^{2}}\] done clear
  D)
  \[300c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer23)
  Find the total cost of golden plating.
  A)
  Rs 276 done clear
  B)
  Rs 280 done clear
  C)
  Rs 284 done clear
  D)
  Rs 370 done clear
  View Solution play_arrow

• question_answer24)
  Find the area of major sector formed in the given figure.
  A)
  \[1400c{{m}^{2}}\] done clear
  B)
  \[1039.5c{{m}^{2}}\] done clear
  C)
  \[1462\text{ }c{{m}^{2}}\] done clear
  D)
  \[1472\text{ }c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer25)
  Find the length of arc SR
  A)
  16cm done clear
  B)
  18cm done clear
  C)
  20cm done clear
  D)
  33cm done clear
  View Solution play_arrow

• question_answer26)
   

  Directions: Q. 26 to 30

  Heena hold a Japanese fan in her hand as shown in the figure. It is shaped like a sector of a circle and made of a thin material such as paper or feather. The inner and outer radii are 6 cm and 10 cm respectively. The fan has three colours i.e. Pink, Blue and Black.

  Based on the above information, answer the following questions.

  If the region containing blue colour makes an angle of \[80{}^\circ \] at the centre, then find the area of the region having blue colour.
  A)
  \[49.17c{{m}^{2}}\] done clear
  B)
  \[44.69c{{m}^{2}}\] done clear
  C)
  \[41.17c{{m}^{2}}\] done clear
  D)
  \[43.17c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer27)
  If the region containing black colour makes an angle of \[40{}^\circ \]at the centre, then find the area of the region having green colour.
  A)
  \[22.34c{{m}^{2}}\] done clear
  B)
  \[18.38c{{m}^{2}}\] done clear
  C)
  \[19.9c{{m}^{2}}\] done clear
  D)
  \[21.12c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer28)
  If the region containing pink colour makes an angle of \[30{}^\circ \]at the centre, then find the perimeter of the region containing pink colour.
  A)
  12.9cm done clear
  B)
  14.2cm done clear
  C)
  15.4cm done clear
  D)
  16.38cm done clear
  View Solution play_arrow

• question_answer29)
  Find the area of the region having radius 6 cm.
  A)
  \[42.57c{{m}^{2}}\] done clear
  B)
  \[47.14c{{m}^{2}}\] done clear
  C)
  \[42c{{m}^{2}}\] done clear
  D)
  \[26.57c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer30)
  The region given in the figure represents.
  A)
  minor sector done clear
  B)
  major sector done clear
  C)
  minor segment done clear
  D)
  major segment done clear
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