CBSE BOARD XII, asked by ankushrathour2004, 4 days ago

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

Answered by rakshabhagraina
3

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.

Answered by MathCracker
14

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,

\rm:\longmapsto{A =  \frac{22}{7}  \times 100 {}^{2} } \:  \:  \:  \:  \:  \:   \\  \\ \rm:\longmapsto{A =  \frac{22}{7}  \times 10000}  \:  \:  \:  \:  \\  \\ \rm:\longmapsto{A =  \frac{220000}{7} } \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\ \bf:\longmapsto{ \red{A = 31428.57m {}^{2}} }

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Learn more from brainly :

An crater falls near a village creating a circular pit of diameter 400m.Find the affected area of land?

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