 |
| ||
| |||
|
| Math Central | Quandaries & Queries |
|
Question from bailey, a student: hi there, Thanks |
Hi Bailey,
The area of a circle is $\pi$ times the square of the radius. Suppose the radius of the pond is $r$ metres. Write an expression for the area of the pond.
The region containing the pond and the path is a circle of radius $r + 1$ metres and hence the area of the path is the area of a circle of radius $r + 1$ metres minus the area of a circle of radius $r$ metres. Write an expression for the area of the path.
Use the two expressions you have just found to write the equation "The area of the path is 1/4 of the area of the pond."
Solve for $r.$
Penny
| ||
| ||
| ||
 |
 |
|
Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.