a circular track has a circumference of 3140 m with ab as one of the diameter a scooterist moves from a to b along the circular path find his distance and displacement what will be the displacement if we cover the three quarter of the circle
Answers
Explanation:
Distance from a to b :
2× pi × r = 3140 m
pi×r = 3140/2
= 1570 m
Displacement from a to b :
= d = 2r
Displacement for three quarter :
x^2= r^2 +r^2
x^2= 2r^2
x = r√2 m
Answer:
Distance Covered is Circumference/2
Explanation:
A diameter creates a semi circle, If you wanna go from 1 point of diameter to another point of diameter then you have to cover the distance of the half circumference
3140m/2 = 1570m is the distance covered
displacement will be = the diameter of the circle :-
= π * D = 3140
= 22/7 * D = 3140
= D = 3140*7/22
= D = 999.493m
Diameter = Displacement = 999.493m
If you complete three quarter of the circle then you will cover 75% of the circumference,
Displacement will be Hypotenuese of a = radius, b = radius
= a² + b² = H²
= (499.747)² + (499.747)² = H²
= 2,49,747.06400 + 2,49,747.06400 = 4,99,494.128
= H = 706.7m
Displacement will be 706.7m