 |
| ||
| |||
|
| Math Central | Quandaries & Queries |
|
Question from Alexea, a student: A rectangle is inscribed in a circle of diameter 15in. Express the perimeter as a function of the width x. |
Hi Alexea,
Let the height of the rectangle by $y$ then the perimeter is $2x + 2y.$
In my diagram $ABC$ is a right triangle. What does Pythagoras tell you? Solve for $y$ in terms of $x.$ Substitute into the perimeter expression.
Penny
| ||
| ||
| ||
 |
 |
|
Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.