When planet Jupiter is at a distance of 824.7 million km from earth, its angular diameter is measured to be 35.72'' of arc. Calculate the diameter of Jupiter.

Answer

1.428xx10^5 km`

Explanation

Here, r 824.7 million km
`=824.7xx10^6km`
`theta = 35.72'' = (35.72)/(60xx60)xx(pi)/(180) radian`
I = ?
From `I =r theta`
`I 824.7xx10^6xx(35x72)/(60xx60)xx(pi)/(180)km`
`=1.428xx10^5km`