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Area Problems

Area Problems
The radius of a circular field is 25 m. Find the area of the field.

625 ? sq m
25 ? sq m
135 ? sq m
125 ? sq m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required area = ?r2 = ? x 25 x 25 = 625? sq m.

Area Problems
The ratio of the radii of two circle is 1:3 the radio of their areas is?

None of these
1:9
1:6
1:3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The Radio of areas = area of first circle : area of 2nd circle= ?r2 / ?(3r)2= ?r2/ 9 ?r2= 1/9 = 1: 9

Area Problems
The ratio between the length and breadth of a rectangular field is 5:4. If the breadth is 20 meters less than the length, the perimeters of the field is?

360 m
260 m
none of these
280 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let length of rectangular field = 5y,so width = 4y.From question5y - 4y = 20m? x = 20m ? Length = (5 x 20)m = 100 mBreadth = (4 x 20) m = 80 m ? Perimeter = 2 (100 + 80 ) m = 360 m

Area Problems
The Area of a square is 50 sq. units. Then the area of the circle drawn on its diagonal is?

25? sq. units
50? sq. units
None of theas
100? sq. units

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area = (Diagonal)2 / 2 = 50? Diagonal = 10 units ? Radius of required circle = 5 unitsIts area = [? x (5)2 ] cm2= 25? units2

Area Problems
If the length of diagonal AC of a square ABCD is 5.2 cm then area of the square ABCD is?

12.62 sq.cm
15.12 sq.cm
13.52 sq.cm
10 sq.cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area = 1/2 x (Diagonal)2= (1/2) x 5.2 x 5.2 cm2= 13.52 cm2

Area Problems
A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 6: 5 . The smaller side of the rectangle is?

72 cm
60 cm
30 cm
132 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Perimeter of rectangle = Circumference of circle = 2?r=2 x ( 22/7 ) x 42= 264 cm Now perimeter of rectangle = 2 x ( 6a + 5a )? 2 x (6a + 5a) = 264? a = 12Smaller side of rectangle = 5a = 60 cm

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