SOLUTION: Can you please help me with this problem?: The formula for the surface are of a sphere is A=4pir^2. A square sticker of side x is placed on a ball of radius 3x. What is the surf

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can you please help me with this problem?: The formula for the surface are of a sphere is A=4pir^2. A square sticker of side x is placed on a ball of radius 3x. What is the surf      Log On


   

Question 119372: Can you please help me with this problem?:
The formula for the surface are of a sphere is A=4pir^2. A square sticker of side x is placed on a ball of radius 3x. What is the surface areaof the not covered by the sticker? Please Write your answer in factored form.

Thanks!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The formula for the surface are of a sphere is A=4pir^2. A square sticker of side x is placed on a ball of radius 3x. What is the surface area of the not covered by the sticker? Please Write your answer in factored form.
:
Sphere area - sticker area = uncovered area
4%2Api%2Ar%5E2 - x%5E2
Substitute 3x for r
4%2Api%2A%283x%29%5E2+-+x%5E2
4%2Api%2A9x%5E2+-+x%5E2
Multiply 9*4
36%2Api%2Ax%5E2+-+x%5E2
Factor out x^2
x%5E2%2836%2Api+-+1%29