SOLUTION: The area of a circular pond is 225 pie square meters. Bordering the pond is a paved circular path whose area is 175 pie square meters. How wide is the paved path alone, in meters?

Algebra ->  Equations -> SOLUTION: The area of a circular pond is 225 pie square meters. Bordering the pond is a paved circular path whose area is 175 pie square meters. How wide is the paved path alone, in meters?      Log On


   

Question 996890: The area of a circular pond is 225 pie square meters. Bordering the pond is a paved circular path whose area is 175 pie square meters. How wide is the paved path alone, in meters?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Combined area of border and pond is 225+175=400 sq. meters.

Difference of radii of combined area and pond area is the width of the border.

pi%2Ar%5E2=A
r%5E2=A%2Fpi
r=sqrt%28A%2Fpi%29

highlight%28sqrt%28400%2Fpi%29-sqrt%28225%2Fpi%29%29

5%2Fsqrt%28pi%29 OR 5%2Asqrt%28pi%29%2Fpi

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a circular pond is 225 pie square meters. Bordering the pond is a paved circular path whose area is 175 pie square meters. How wide is the paved path alone, in meters?
Width of paved path: sqrt%28400%29+-+sqrt%28225%29, or highlight_green%285%29 m



By the way, pie is a dessert. The correct word is: "pi," the lower case Greek letter.