A crater falls near a village creating a circular pit of diameter 200 m. Find the affected area of land:
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Answers
The diameter of the circular track is given as 200 m. That is, 2r=200 m.
From this radius is calculated as Radius, r = 100 m.
In 40 sec the athlete complete one round. So, in 2 mins and 20 secs, that is, 140 sec the athlete will complete = 140 / 40 = 3.5 (three and a half) rounds.
One round is considered as the circumference of the circular track.
The distance covered in 140 sec = 2πr×3.5=2×3.14×100×3.5=2200 m.
For each complete round the displacement is zero. Therefore for 3 complete rounds, the displacement will be zero.
At the end of his motion, the athlete will be in the diametrically opposite position. That is, displacement = diameter = 200 m.
Hence, the distance covered is 2200 m and the displacement is 200 m.
Question :-
A crater falls near a village creating a circular pit of diameter 200 m. Find the affected area of land.
Answer :-
- Are of land = 31,428.57m²
Step by step explanation :-
We have,
- A crater falls near a village creating a circular pit of diameter 200 m.
We have to find,
- the affected area of land.
By area of circle formula,
- Area of land = πr²
Now, we know that
→ Radius = Diameter/2
Hence,
→ Radius = 200/2 = 100m
Finding the are of land,
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An crater falls near a village creating a circular pit of diameter 400m.Find the affected area of land?
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