Question

what is the solid angle subtended by the moon at any point of the earth given the diameter of the moon is 3474 kilometre and its distance from the earth 3.84 into 10 raise to 8 metre ​

Answer 1

Question:

What is the solid angle subtended by the moon at any point of the earth given the diameter of the earth given of the moon is 3474km and its distance from the earth $3.84\times10^8m$ .

Solution:

Given:

Diameter of the moon = 3474km

Distance from the earth = $3.84\times10^8m$

To find:

Solid angle subtended by the moon.

How to solve:

Diameter of the moon,D = 3474km

Radius of the moon, r = $\frac{D}{2}$

= $\frac{3474}{2}$

= 1737 km

Area = πr²

= (3.14) (1737)² = $9.473\times10^6\ m^2$

The distance from earth =

$3.84\times10^8m$

Squaring this value:

r² = $(3.84\times10^8)^2$

= $14.74\times10^{16}\ m^2$

Now, the solid angle in steradians is

Ω = $\dfrac{9.473\times10^6}{14.74\times10^{16}}=0.642\times10^{-10}$

Ans = $0.642\times10^{-10}$

Answer 2

Lol..........xD......