# The sun's angular diameter is measured to be 1920". The distance D of the sun from the earth is 1.496*10^11.Find the diameter of the sun.[hint d is directly proportional to D]

1
by Sanimer

## Answers

The Brainliest Answer!
2015-04-11T20:05:27+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Angular diameter is the angle subtended by the diameter of the Sun planet at the eyes of a viewer.

δ = angular diameter in radians
d = actual diameter of Sun planet
D = distance between the surface of Earth and Sun. = 1.496 * 10^11 meters

tan δ/2 =  (d/2) / D

δ in radians = δ in arcseconds / 3600  * π/180  = 1920/3600* π/180 radians

d = 2 D  tan δ/2 = 1.39 *10^9 meters
= 1.390 &10^6  km

Earth's diameter = 12,742 km
Sun's diameter is around 109 times Earth's.  so it is 1388872 km
= 1.388 * 10^6 km

So the calculated figure and the diameter from the book are matching nearly.