Chapter SH, Problem 10.3MPS

To determine

To calculate: To find the radius of Earth.

Answer to Problem 10.3MPS

The radius of Earth is approximately $6377$ kilometre.

Explanation of Solution

Given: Earth is cut into two pieces at the equator and the area of cross section of Earth would be approximately $127796483$ square kilometre

Formula Used:

Area of circle is

  $A=\pi r^2$

Where,

  $r=$ Radius of circle

Calculation:

Given area of cross section of Earth would be approximately $127796483$ square kilometre

Also, area of circle is given as

  $A=\pi r^2$

Radius is calculated as follows:

  $\begin{array}{l}127796483=\pi r^2\\ 127796483=\frac{22}{7}\times r^2\\ r^2=40662517.32\\ r=6376.72\\ r=6377\end{array}$

Conclusion:

Hence, radius of Earth is approximately $6377$ kilometre