Find the area of a circle with a radius of \color{purple}{2}2start color purple, 2, end color purple.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Step-by-step explanation:

The area of a circle is given by the formula:

where

A is the area

r is the radius of the circle

In this problem we have:

r = 2 units is the radius of the circle

Therefore, substituting in the formula above, we can find the area of the circle:

So, the area of the circle is .

Answer 1

Center of the rail rise above ground would be 0.01732058  or 17.32 meters

Step-by-step explanation:

The railroad is 6 km before expansion so when the railroad expands it makes an isosceles triangle at the centre of the rail. The base will be 6 km while each side of triangle will be 3.00005 km

(6+10/10,000)/2 as 100,000 cm gives 1km.

Taking half of the isosceles triangle we will make  a right triangle as

6/2 = 3 km and

hypotenuse = 6 km.

Using Pythagoras Theorem we will find the height of the triangle.  

h^2 = 3.00005^2 - 3^2

h= square root 0.0003000025

h= 0.01732058

Answer 2

17.32 meters

Step-by-step explanation:

The centre of the railroad will rise 0.01732058 km. We have found this figure from the calculation in part 1 of this answer. After this we will be converting this figure of decimal numbers into metres by multiplying by 1000. From 1000 meters, because are 1000 metres in 1 km. Therefore as a conclusion, we got the answer that is 17.32 metres above the ground.