After half a circle, the particle will be diametrically opposite to its origin Hence, displacement is equal to diameter.
= [tex]2\pi[/tex]
Then,
For,
Distance:-
The perimeter of a semicircle is the sum of half of the circumference of the circle and its diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.
So, the magnitude of the distance is
Displacement is the shortest distance travelled by the object.
In this semicircle, the shortest distance between the two points A and B is the diameter of the semicircle.
Answers & Comments
Answer:
distance = 2pi(r)/2 (half of circumference)
and
displacement= diameter of the circle
Verified answer
Answer:
2[tex]\pi[/tex]r/2
Step-by-step explanation:
Given,
To find the,
Distance and displacement of half of the circle,
Now,
According to the question,
For,
Displacement:-
After half a circle, the particle will be diametrically opposite to its origin Hence, displacement is equal to diameter.
= [tex]2\pi[/tex]
Then,
For,
Distance:-
The perimeter of a semicircle is the sum of half of the circumference of the circle and its diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.
So, the magnitude of the distance is
Displacement is the shortest distance travelled by the object.
In this semicircle, the shortest distance between the two points A and B is the diameter of the semicircle.
Diameter is twice the radius.
So, the answer is,
[tex]2\pi r/2[/tex]
Hence proved.