4. If a train travels in a straight line from city A to Bit covers 1040 km. If an aeroplane flies in a curved path between the same two cities, how much distance it will cover? why?
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Answers
Answer:
The aeroplane will cover 1634.29 km. between A and B
Step-by-step explanation:
Given :
Distance covered by the train= 1040 km.
Distance between city A and B = 1040 km.
This distance is the diameter of the semi circular path which aeroplane covered.
Radius (r) of the semi circle path = diameter / 2= 1040/2=520 km.
The curved distance covered by an aeroplane is the circumference of the semi circle
AS we know that,
Circumference of semi circle = r
= (22/7) × 520
= 11,440 / 7
=1634.29 km.
Answer:
If an airplane flies in a curved path between the same two cities, the distance it will cover will be greater than 1040 km. This is because an airplane can take a more direct route, following the curvature of the Earth, which allows it to cover the distance in a shorter path compared to a train traveling in a straight line.
When an airplane flies between two points on the Earth's surface, it can take advantage of the Earth's spherical shape by following a great circle route. A great circle is the shortest distance between two points on a sphere, and it corresponds to the arc formed by the intersection of a plane passing through the center of the sphere with the surface of the sphere.
On the other hand, a train typically follows a straight track on the ground, which is a much longer path compared to the curved great circle route that an airplane can take. Therefore, the distance covered by the airplane between the two cities will be shorter than the straight-line distance of 1040 km covered by the train.