If the radius of a circle is increased by 27%, then its area will

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 Multiple Choice QuestionsMultiple Choice Questions

1.

If a circle and a semi-circle have the same radius of 14 cm, then the ratio of their perimeters is 

  • 3 : 1

  • 2 : 1

  • 10 : 9

  • 11 : 9

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2.

The diameter of a circle is 8 cm less than its semi-circumference. Its radius is

  • 3.5 cm

  • 7 cm

  • 5 cm

  • 10.5 cm

161 Views

3.

The perimeter of a rhombus ABCD is 100 cm. If the length of the diagonal AC is 14 cm, the length of the diagonal BD will be

  • 24 cm

  • 36 cm

  • 42 cm

  • 42 cm

133 Views

4.

The area of the region swept by the minute-hand, 7 cm long, of a wall-clock in an interval of 6 minutes is .

  • 154 cm2

  • 92.4 cm2

  • 15.4 cm2

  • 1.54 cm2

125 Views

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5.

The perimeter of an equilateral triangle is equal to the circumference of a circle. The ratio of their area is 

198 Views

6.

The areas of a circle and a square are same. The ratio of the side of the square to the radius of the circle is

  • 2π: 1

  • 1: 2π

96 Views

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7.

If the radius of a circle is increased by 27%, then its area will increase by

  • 61.29%

  • 54%

  • 27%

  • 30.645%


A.

61.29%

Shortcut Method:

space equals space open parentheses straight x space plus space straight y space plus space xy over 100 close parentheses percent sign
equals space open parentheses 27 space plus space 27 space plus space fraction numerator 27 space cross times space 27 over denominator 100 end fraction close parentheses percent sign
equals space 54 space plus space 729 over 100
equals space 54 space plus space 7.29 space equals space 61.29 percent sign


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8.

The base angle of an isosceles trapezium is 45°. If the shorter side and both the equal sides are 10 cm each, what is the area of the trapezium?


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9.

The length of side AB and side BC of a scalene triangle ABC are 12cm and 8 cm respectively. The size of angle C is 59°. Find the length of side AC.

  • 12

  • 10

  • 14

  • 16

463 Views

10.

A well of diameters 3m is dug 14m deep. The Earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 4m to form an embankment. Find the height of the embankment.

  • 4.25 m

  • 2.250 m

  • 1.125 m

  • 1.125 m

700 Views

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