Chapter 0, Problem 53POT

To determine

To find:the radius of the circular area of the fountain. Round to the nearest tenth.

Answer to Problem 53POT

  $r=2.60\text{feet}$ .

Explanation of Solution

Given:

Circumference of the fountain is $c=16\text{feet}$

Concept used:

Circumference of the circle is $c=\pi d=2\pi r$

Calculation:

As it is known that Circumference of the circle is $c=\pi d=2\pi r$ .

Therefore,

  $\begin{array}{l}c=16\\ \Rightarrow 2\pi r=16\\ \Rightarrow 2\times \frac{22}{7}\times r=16\{\text{take }\pi =\frac{\text{22}}{7}\}\\ \therefore r=\frac{16\times 7}{22\times 2}\\ r=\frac{28}{11}\\ r=2.55\\ \therefore r=2.60\text{feet {round up to nearest tenth}}\end{array}$

Hence, the radius of the circular area of the fountainis $r=2.60\text{feet}$ .