213k views
5 votes
Find the diameter of a circle f a circle with an area of 676pie square centimeters.

User GeekHades
by
6.1k points

1 Answer

6 votes


\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} A=676\pi \end{cases}\implies 676\pi =\pi r^2\implies \cfrac{676\pi }{\pi }=r^2 \\\\\\ 676=r^2\implies √(676)=r\implies 26=r~\hspace{10em}\stackrel{\textit{diameter = 2r}}{52}

User Gparent
by
6.5k points