If the area of a circle is A, radius of the circle is r and circu

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 Multiple Choice QuestionsMultiple Choice Questions

111.

A square ABCD is inscribed in a circle of unit radius. Semi-circles are described on each side as a diameter. The area of the region bounded by the four semi-circles and the circle is

  • 1 sq unit

  • 2 sq unit

  • 1.5 sq unit

  • 2.5 sq unit

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112.

The sides of a triangle having area 7776 sq cm are in the ratio 3 : 4 : 5. The Perimeter of the triangle is

  • 412 cm

  • 424 cm

  • 400 cm

  • 432 cm


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113.

If the area of a circle is A, radius of the circle is r and circumference of it is C, then

  • rC = 2A

  • straight A over straight r space equals space straight C

  • AC space equals space straight r squared over 4

  • straight C over straight A space equals space straight r over 2


A.

rC = 2A

 Circumference (C)  =  2 πr
rightwards double arrow space space straight pi equals space fraction numerator straight C over denominator 2 straight r end fraction                       ...(i)
Area of circle (A) = πr squared
rightwards double arrow space space straight pi space equals space straight A over straight r squared                        ...(ii)
(i) = (ii),
rightwards double arrow space space space fraction numerator straight C over denominator 2 straight r end fraction space equals space straight A over straight r squared
rightwards double arrow space space space rC space equals space 2 straight A


 


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114.

The perimeter of one face of a cube is 20 cm. Its volume will be

  • 400 cm3

  • 125 cm3

  • 625 cm3

  • 100 cm3


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115.

A solid sphere of diameter 17.5 cm is cut into two equal halves. What will be the increase (in cm2) in the total surface area?

  • 289 cm2

  • 361.5 cm2

  • 481.25 cm2

  • 962.5 cm2


116.

What is the area (in cm2) of a rectangle if its diagonal is 25 cm and one of its sides is 24 cm?

  • 186 cm2

  • 144 cm2

  • 132 cm2

  • 168 cm2


117.

Area of 4 walls of a cuboid is 57m2, if its length is 5.5 m and height is 3 m. What is the breadth (in m)?

  • 4.5 m

  • 4 m

  • 3 m

  • 3.5 m


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