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Area Problems

Area Problems
The ratios of areas of two squares, one having its diagonal double than the other is

2:3
3:1
4:1
2:1

ANSWER DOWNLOAD EXAMIANS APP

Area Problems
A wheel makes 1000 revolutions in covering a distance of 88 km. the diameter of the wheel is?

24 meters
28 meters
14 meters
40 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Distance covered in one revolution = total distance travelled / total number of revolution. = ( 88 x 1000) / 1000 m = 88 mWe know that the distance covered in one revolution = circumference of the wheel.? ?d = 88? 22d / 7 = 88? d = 28 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 ?

150
250
350
550

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
The area of a trapezium is 384 sq.cm 2. If its parallel sides are in ratio 3 : 5 and the perpendicular distance between them be 12 cm, The smaller of parallel sides is?

36 cm
30 cm
20 cm
24 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the sides of trapezium be 5k and 3k, respectively According to the question, (1/2) x [(5k + 3k) x 12] = 384? 8k = (384 x 2)/12 = 64 ? k = 64/8 = 8 cmLength of smaller of the parallel sides = 8 x 3 = 24 cm

Area Problems
A wire can be bent in the form of a circle of radius 56cm. If it is bent in the form of a square, then its area will be

7744
8844
5544
4444

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

length of wire = 2 ?r = 2 x (22/7 ) x 56 = 352 cmside of the square = 352/4 = 88cmarea of the square = 88 x 88 = 7744sq cm

Area Problems
The side of a square is 5 cm which is 13 cm less than the diameter of a circle. What is the approximate area of the circle?

265 sq cm
245 sq cm
235 sq cm
255 sq cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Diameter of the circle = 13 + 5 = 18 cm? Radius = Diameter/2 =18/2 = 9 cm Area of the circle = ?r2 = (22/7) x 92 = (22 x 81)/9 = 1782/7 = 254.57 sq cm= 255 sq cm

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