Question

The sun's angular is measured to be 1920", The distance D of the sun from the earth is 1.496x10^11 m. Find the diameter of the sun.

Answer 1

5.61×10^11m =5.61*10^8 km

Answer 2

Answer:

The angular diameter of sun = 1920"

The distance between sun and earth = 1.496 * 10¹¹ m

We know that, alpha = d/D

Hence, the diameter of the sun = D * alpha

d = D * alpha

Now, converting angular diameter of the sun into radians.

1920" = 4.58 * 10^(-6) * 1920 = 8,793.6 * 10^(-6) rad

Now, finding the diameter of the sun.

d = (8,793.6 * 10^(-6) rad) * (1.496 * 10¹¹)

d = 13,155.2256 * 10^(5) m