When jupiter is a distance of 630 million kilometres from earth (4.2 astronomical units), it has an apparent angular diameter of 46 arcseconds (46/3600 of degree). calculate jupiter's diameter in kilometers, and state how many times larger this is than diameter of earth

Jupiter's diameter is 11 times greater than that of Earth

Explanation:

Given,

The distance between Jupiter and earth is 630 million km = D   km

Let, the angular diameter be  a = 46 arcseconds

Diameter of Jupiter be d

We know that Earth’s diameter = 12,742 km

According to the formula;

a (in arcseconds) =  

Substituting all the values in the equation;

46 =

Calculating for d;

d =  

d = 140,498.8728092502 km

The diameter of Jupiter is 140498.87 km

Therefore, Jupiter’s diameter is 11 times greater than Earth’s diameter.  

16.9 times 2.85

step-by-step explanation: