Final answer:
To find the area of the road, we multiply the total distance covered by the length of the road roller.
Step-by-step explanation:
To find the area of the road, we need to calculate the total distance covered by the road roller. The road roller takes 700 complete revolutions to move once over the road. Since the diameter of the road roller is 84 cm, the radius is half of that, which is 42 cm (0.42 m).
The distance covered in one revolution is equal to the circumference of the road roller. The circumference can be calculated using the formula: 2πr, where r is the radius. So, the distance covered in one revolution is 2π(0.42 m).
To find the total distance covered by the road roller, we multiply the distance covered in one revolution by the number of revolutions, which is 700. The total distance is therefore: 2π(0.42 m) * 700 = 2940π m.
Finally, to find the area of the road, we multiply the total distance covered by the length of the road roller, which is 2 m. The area of the road is: 2940π m * 2 m = 5880π m^2
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