The car, moving in a straight line, drove a path of 10 m, then made a turn, circumscribing a quarter

The car, moving in a straight line, drove a path of 10 m, then made a turn, circumscribing a quarter circle with a radius of 10 m, and drove further along the pendicular street for another 10 m. Determine the distance traveled and the module of movement.

In order to find the path covered by the car, moving along a circle with a radius of 10 meters, it is necessary to find the length of the arc of such a circle. The arc length is found by the formula: L = 2πr, where r is the radius of the circle.

L = 2 * 3.14 * 10 = 62.8 m.

Since the condition of the problem says that the car has described a quarter of a circle, it means that it has traveled a path equal to a quarter of the arc length.

s = 62.8 m: 4 = 15.7 m – this is how much the car moved after turning.

It is known that at first the object moved 10 meters, then 15.7 meters in a circle and another 10 meters, after which it returned to its starting point.

s = 10 m + 15.7 m + 10 m = 35.7 m – path.

Since the car has returned to the starting point, its movement is zero.

Answer: 35.7 m; 0.