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Area Problems

Area Problems
What is the diameter of the circle having 3 cm radius?

8 cm
1.5 cm
6 cm
12 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Radius = Diameter/2 ? Diameter = 2 x Radius = 2 x 3 = 6 cm

Area Problems
The length of a rectangle is double while its breadth is halved. What is the percentage change in area?

No change
75
50
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let length = l and breadth = bThen, area = lb New length = 2lAnd new breadth = b/2 ? New area = ( 2l ) x (b/2) = lbSo, there is no change in area .

Area Problems
The length of a rectangular field is 100 m and its breadth is 40 m. What will be the area of the field?

(4 x 103) sq m
(4 x 102) sq m
(4 x 10) sq m
(4 x 104) sq m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required area = Length x Breadth= 100 x 40 = 4000 sq m= 4 x 103 sq m

Area Problems
The diameter of the driving wheel of a bus is 140 cm. How many revolution, per minute must the wheel make in order to keep a speed of 66 kmph ?

550
150
350
250

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Circumference = No.of revolutions * Distance covered   Distance to be covered in 1 min. = (66 X1000)/60 m = 1100 m.Circumference of the wheel = 2 x (22/7) x 0.70 m = 4.4 m.Number of revolutions per min. =(1100/4.4) = 250.

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

15.12 sq.cm
13.52 sq.cm
12.62 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
If 88 m wire is required to fence a circular plot of land, then the area of the plot is?

526 m2
None of these
556 m2
616 m2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Circumference of circular plot= 88 m? 2 x (22/7) x r = 88? r = 88 x (7/22) x (1/2) = 14 m Now area = ?r2=( 22/7) x 14 x 14 m2= 616 m2

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