SOLUTION: A circular pond 24 yd in diameter is surrounded by a gravel path 2 yd wide. The path is to be replaced by a brick walk costing $50 per square yard. How much will the walk cost? I k

Algebra ->  Circles -> SOLUTION: A circular pond 24 yd in diameter is surrounded by a gravel path 2 yd wide. The path is to be replaced by a brick walk costing $50 per square yard. How much will the walk cost? I k      Log On


   



Question 957071: A circular pond 24 yd in diameter is surrounded by a gravel path 2 yd wide. The path is to be replaced by a brick walk costing $50 per square yard. How much will the walk cost? I know the answer is 8,164, but I just can't figure out how to get it. Thank you!
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Two stages if you want easier problems. First find the area of the path. After that, do cost.

pi%2A14%5E2-pi%2A12%5E2, the circular path area.
pi%2814%5E2-12%5E2%29
%28196-144%29pi
highlight_green%2852pi%29 square yards.

Cost?
%2852pi%2AsqrYards%29%2A%2850%2F1%29%28dollars%2FsqrYards%29

Finding 8168 dollars, very near to what you expect.