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A roller takes 750 complete revolutions to move once over a level of road. Find the area of road if the diameter of the roller is 84 cm and length is 1 m.
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28
Answer:
1980 m²
Step-by-step explanation:
A roller takes 750 complete revolutions to move once across the level of road .
The diameter of the roller = 84 cm .
Find the circumference of the roller :
C = d π
⇒ C = 84 cm × 22/7
⇒ C = 12 × 22 cm
⇒ C = 264 cm
⇒ C = 2.64 m
The width of the road = number of revolutions × circumference of the wheel
⇒ width of the road = 750 × 2.64 m
⇒ width of the road = 1980 m
Length of the road = 1 m
Area of the road = length × width
⇒ 1980 m × 1 m
⇒ 1980 m²
The area of the road is 1980 m².
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