SOLUTION: Please explain to me how to do this kind of proof: Two spheres have radii a and b. Prove that the ratio of the areas is a^2 : b^2

Algebra ->  Geometry-proofs -> SOLUTION: Please explain to me how to do this kind of proof: Two spheres have radii a and b. Prove that the ratio of the areas is a^2 : b^2      Log On


   

Question 84731This question is from textbook Geometry
: Please explain to me how to do this kind of proof:
Two spheres have radii a and b. Prove that the ratio of the areas is a^2 : b^2 This question is from textbook Geometry

Answer by PS(13) About Me  (Show Source):
You can put this solution on YOUR website!

Surface Area of a sphere = 4%2Api%2Ar%5E2
So, Area of a sphere of radius a = 4%2Api%2Aa%5E2

Area of a sphere of radius b = 4%2Api%2Ab%5E2
Ratio of the areas = %284%2Api%2Aa%5E2%29%2F%284%2Api%2Ab%5E2%29 = a%5E2%2Fb%5E2