Chapter 11, Problem 18MCQ

To determine

To find: The diameter of the circle.

Answer to Problem 18MCQ

The diameter of the circle is $8.12\mathrm{inches}$ .

Explanation of Solution

Given Information: Given area is $52squareinches$ .

Given area is $52squareinches$ .

Area of circle $=\pi r^2$ .

  $\begin{array}{l}\pi r^2=52\\ \frac{22}{7}{r}^2=52\\ r^2=52\times \frac{7}{22}\\ r=\sqrt{52\times \frac{7}{22}}\\ r=4.06\\ \mathrm{Diameter}=2\times r\\ \mathrm{Diameter}=2\times 4.06\\ \mathrm{Diameter}=8.12\mathrm{inches}\end{array}$

Thus, the diameter of the circle is $8.12\mathrm{inches}$ .