Chapter 0, Problem 49PRT

To determine

Diameter of the birdcage floor.

Answer to Problem 49PRT

  $Diameter=15\text{ inches}$

Explanation of Solution

Given information:

Circumference of circle: $47.1inches$

Formula used:

  $\text{Circumference of circle=2}\pi \text{r}$

  $\begin{array}{l}Circumferenceofcircle=2\pi r\\ \\ 47.1=2\times \frac{22}{7}\times r\\ \\ r=47.1\times \frac{7}{22}\times \frac{1}{2}\\ \\ r=7.5\end{array}$

Now as we know the diameter of circle is $D=2R$ therefore,

  $\begin{array}{l}Diameter=2Radius\\ \\ Diameter=2\times 7.5\\ \\ Diameter=15inches\end{array}$