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41.
In an equilateral triangle of side 24 cm, a circle is inscribed touching its sides. The area of the remaining portion of the triangle is ( √3 = 1.732 )

98.55 sq cm

100 sq cm

101 sq cm

95 sq cm

98.55 sq cm

Side (a) = 24 cm

$Area space of space triangle space space equals space fraction numerator square root of 3 over denominator 4 end fraction space cross times space left parenthesis side right parenthesis squared space equals space fraction numerator square root of 3 over denominator 4 end fraction space cross times space 24 space cross times space 24 space equals space 144 square root of 3 space sq. space cm space equals space 144 space cross times space 1.732 space equals space 249.408 space cm squared$

In radius = $fraction numerator straight a over denominator 2 square root of 3 end fraction space equals space fraction numerator 24 over denominator 2 square root of 3 end fraction space equals space 4 square root of 3 space cm$
Area of circle = $πr squared$
$space equals space 22 over 7 cross times space 4 square root of 3 space cross times space 4 square root of 3 equals space 1056 over 7 space equals space 150.86 space cm squared$
Area of remaining part
= (249.408 - 150.86) cm²
^{$equals space 98.548 space sq. cm space almost equal to space 98.55 space cm squared$}

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42.

Two sides of a plot measuring 32 m and 24 m and the angle between them is a perfect right angle. The other two sides measure 25 m each and the other three angles are not right angles. The area of the plot in m² is

768
534
696.5
696.5

587 Views

43.

Perimeter of a rhombus is 2p unit and sum of length of diagonals is m unit, then area of the rhombus is

786 Views

44.

The diameter of a circular wheel is 7 m. How many revolutions will it make in travelling 22 km?

296 Views

45.

The area of an equilateral triangle is $9 square root of 3 space straight m squared.$ The length (in m) of the median is

$2 square root of 3$
$3 square root of 3$
$3 square root of 2$
$3 square root of 2$

151 Views

46.

The diagonals of a rhombus are 12 cm and 16 cm respectively. The length of one side is

8 cm
6 cm
10 cm
10 cm

157 Views

47.

How many tiles, each 4 decimetre square, will be required to cover the floor of a room 8 m long and 6 m broad?

277 Views

48.

A lawn is in the form of a rectangle having its breadth and length in the ratio 3 : 4. The area of the lawn is $1 over 12 hectare$ . The breadth of the lawn is

25 metres
50 metres
75 metres
75 metres

346 Views

49.

The area of a rectangle is thrice that of a square. The length of the rectangle is 20 cm and the breadth of the rectangle is $3 over 2$ times that of the side of the square. The side of the square, in cm, is

168 Views

50.

A square is of area 200 sq. m. A new square is formed in such a way that the length of its diagonal is $square root of 2$ times of the diagonal of the given square. Then the area of the new square formed is