A car is moving over the circumference of a semi circle of a radius 28 cm . find out the distance displacement of car
Answers
Answer:
Distance: and Displacement: 56cm.
Step-by-step explanation:
Finding of the Distance:-
Circumference of Circle formula:
Circumference of a semi-circle=Half of the circumference of the circle.
So, the distance covered is .
Finding of the Displacement:-
Displacement is the shortest line segment that connects the starting and ending point.
Let point 'O' be the Centre, point 'A' be the starting point, and point 'B' be the ending point.
Then, the car started from point A through the semi-circle to point B. This is the Distance.
The shortest line segment (displacement) is from A to B, (or) A to O to B.
To find this, we first need to understand that the radius is nothing but point 'O' (centre) to any other point on the semi-circle. Let's say the starting point, point A. From A to O, the distance is 28cm (radius).
NOTE: The Radius is the same at any point on our semi-circle.
We have found the distance from A to O. As the radius (28cm) is the same at any point, we can also say that the distance from point O to point B is also 28cm.
As the displacement is A to O (28cm)+O to B(28cm), we can say that the displacement is 28+28=56cm.
So, the total displacement is 56cm
So, the distance covered by the car is and the total displacement is 56cm.
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