Question

the angular diameter for a star is measured to be 1920''. the distance of star from the earth is 1.5 x 10^11 m. the diameter of the star is (in km)

Answer 1

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Answer 2

Hey dear,

◆ Answer-

d = 1395000 km

◆ Explaination-

# Given-

θ = 1920" = 1920/3600 = 0.5333° = 0.5333×π/180 = 0.0093 rad

D = 1.5×10^11 m

# Solution-

Angular diameter is calculated by formula-

Angular diameter = Linear diameter / Distance

θ = d / D

d = θ × D

d = 0.0093 × 1.5×10^11

d = 1.395×10^9 m

d = 1395000 km

Therefore, diameter of the star is 1395000 km.

Hope this helps you...