When the planet Jupiter is at a distance of 824.7 million kilometres from the Earth, its angular diameter is measured to be 35.72″ of arc. Calculate the diameter of Jupiter.
Distance of Jupiter from the Earth, D=824.7×106km Angular diameter 35.72′′=35.72×4.874×10−6rad Diameter of Jupiter = d Using the relation, θ = d/ D d=θ D = 824.7 x 109 x 35.72 x 4.872 x 10−6 = 143520.76 x 103 = 1.435 x 105 Km