In Fig., AB and CD are two diameters of a circle with centre O, w

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 Multiple Choice QuestionsMultiple Choice Questions

161. The area of quadrant of a circle whose circumference is 22 cm is
  • 7 over 2 space cm squared
  • 7 cm2

  • 3 cm2

  • 3 cm2

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162. If the perimeter and the area of a circle are numerically equal, then the radius of the circle is
  • 2 units  
  • 11 units
  • 4 units 
  • 4 units 
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163. A chord of circle of radius 10 cm subtends a right angle at the centre. The area of minor segment APBA is (Fig. 12.92).


  • 28 cm2  
  • 28.2 cm2
  • 28.5 cm2  
  • 28.5 cm2  
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 Multiple Choice QuestionsShort Answer Type

164.

In Fig.  find the area of the shaded region, enclosed between two concentric circles of radii 7 cm and 14 cm where ∠AOC = 40°. (use π =22/7)

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165.

In the given figure, a triangle ABC is drawn to circumscribe of radius 3 cm, such that the segments RD and DC are respectively of length 6 cm and 9 cm. If the area of ΔABC is 54 cm2, then find lengths of sides AB and AC.

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166.

Find the area of the minor segment of a circle of radius 14 cm, when its central angle is 60°. Also find the area of the corresponding major segment.  [ use π = 22/7 ]

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 Multiple Choice QuestionsLong Answer Type

167. Prove that the tangent drawn at the midpoint of an arc of a circle is parallel to the chord joining the end points of the arc.
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168.

In Fig., AB and CD are two diameters of a circle with centre O, which are perpendicular to each other. OB is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region.   Use π = 227

               


AB and CDare the diameters of a circle with centre O. OA = OB = OC =7 cm ( Radius of the circle)Area of the shaded region = = Area of the circle with diameter OB + ( Area of the semi-circle ACDA - Areaof ACD )=π 722 +  12 x π x 72 - 12 x CD x OA= 227 x 494 + 12 x 227 x 49 - 12 x 14 x 7= 772 + 77- 49= 66.5 cm2


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169.

In Figure 2, ABCD is a trapezium of area 24.5 sq. cm. In it, AD|| BC,  DAB = 90°, AD = 10 cm and BC = 4 cm. If ABE is a quadrant of a circle, find the area of the shaded region.    Take π= 227                  

                     


 Multiple Choice QuestionsShort Answer Type

170.

In Figure, two concentric circles with centre 0, have radii 21 cm and 42 cm. If ∠ AOB = 60°, find the area of the shaded region.  Use π = 227

                         

 


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