Question

What is the diameter of a circle if its circumference is $25.8\mathrm{inches}$?

Answer 1

Find the diameter of a circle.

The circumference is $25.8\mathrm{inches}$

The formula to find the circumference, $C$ of a circle when the diameter $,D$ is given

$C=\mathrm{\pi }\times \mathrm{D}$

Substitute the given value in the above formula.

$$\begin{gathered} 25.8=\mathrm{\pi }\times \mathrm{D} \\ \Rightarrow 25.8=3.1415\times \mathrm{D}\left[\because \mathrm{\pi }=3.1415\right] \\ \Rightarrow \mathrm{D}=\frac{25.8}{3.1415} \\ \therefore \mathrm{D}=8.21\mathrm{inches} \end{gathered}$$

Thus, the diameter of a circle is $8.21\mathrm{inches}$