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AREA PROBLEMS

Area Problems
The radius of the wheel of a vehicle is 70 cm. The wheel makes 10 revolutions in 5 seconds. The speed of the vehicle is?

36.25 km/hr.
29.46 km/hr.
32.72 km/hr.
31.68 km/hr.

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Circumference = 2?r = 2 x (22 / 7) x 70 cm = 440 cm Distance travelled in 10 revolutions = 440 x 10 cm = 4400 cm = 44 m? Speed = distance / time= 44 / 5 m/sec= (44 / 5) x (18 / 5) km/hr = 31.68 km/hr

Area Problems
A circular disc of area 0.49 ? square meters, rolls down a length of 1.76 km. The number of revolutions it makes is?

600
4000
400
300

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area = ?r2 = 0.49? ? r = 0.7 mNumber of revolutions = total distance / circumference = (1.76 x 1000) / (2 x 22/7 x 0.7) = 400

Area Problems
The Number of rounds that a wheel of diameter 7/11 m will make in going 4 km, is?

1700
1500
1000
2000

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number of round = total distance / circumference of wheel.= (4 x 1000) / ?d= (4 x 1000) / ( 22/7 x 7/11) = 2000

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

40 meters
28 meters
24 meters
14 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 a wheel is 63 cms. Distance travelled by the wheel in 100 revolutions is?

198 meters
99 meters
136 meters
63 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Distance travelled in 1 revolution = circumference of the wheel = ?d= ( 22/7 ) x 63= 198 cmSo the distance travelled in 100 revolutions = 100 x distance travelled in 1 revolution = 100 x 198 cm= 19800 cm = 198 m

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