SOLUTION: A toy store sells two sizes of circular dartboards. The larger of the two has a radius that is 3 inches greater than that of the other. The radius of the smaller darboard is t in

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: A toy store sells two sizes of circular dartboards. The larger of the two has a radius that is 3 inches greater than that of the other. The radius of the smaller darboard is t in      Log On


   

Question 2608: A toy store sells two sizes of circular dartboards. The larger of the two has a radius that is 3 inches greater than that of the other. The radius of the smaller darboard is t inches. Find a polynomial that represents the difference in area between the two dartboards.
Answer by kiru_khandelwal(79) About Me  (Show Source):
You can put this solution on YOUR website!
Let the radius of the smalled dartboard be t
Then the area of the dartboard will be pi*t^2
as the area of the circle is pi*r^2
Radius of the bigger dartboard will be (t+3)
so area will be pi*(t+3)^2
Difference in area of two dartbaords will be
pi*(t+3)^2 - pi*t^2
=> pi(t^2 + 6t + 9 -t^2)
=> pi(6t+9)
=> 3pi(2t+3)