Problema Solution
NASA has found a planet in a far away galaxy,and has obtained a scaled photos using Hubble telescope. The circumference of the planet is unknown, although the diameter in the picture is 3.62 inches. In the same picture, there is a star with radius 37.41 inches. We know the actual circumference of the star is 3 million miles, what would be the circumference of the planet.
Answer provided by our tutors
let
d1 = 3.62 in the diameter of the planet on the picture
r1 = d1/2 = 3.62/2 = 1.81 in is the radius of the planet on the picture
C1 = the circumference of the planet
r2 = 37.41 in the radius of the star
C2 = 3*10^6 mi is the circumference of the star
r1 : r2 = C1 : C2
1.81 : 37.41 = C1 : 3*10^6
by solving we find:
C1 = 145,148.356 mi
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the circumference of the planet is 145,148.356 mi.