Mathematics: In a circle a 60degree sector has area 25pi ft2. what is the circumference of the circle?

In a circle a 60degree sector has area 25pi ft2. what

Ответ:

sama4awad

03.01.2022

$\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta\pi r^2}{360}\implies \sqrt{\cfrac{360A}{\theta\pi }}=r\quad 
\begin{cases}
r=radius\\
\theta=\textit{angle in degrees}\\
----------\\
\theta=60\\
A=25\pi 
\end{cases}
\\\\\\
\sqrt{\cfrac{360\cdot 25\pi }{60\pi }}=r\implies \sqrt{150}=r\implies 5\sqrt{6}=\boxed{r}\\\\
-----------------------------\\\\
\textit{circumference of a circle}\\\\
C=2\pi r\implies C=2\pi \boxed{5\sqrt{6}}\implies C=10\pi \sqrt{6}$

0,0(0 оценок)

Ответ:

dontcare7045

29.10.2022

Mathematics

And my fish can’t seem to breathe through the oxygen tank I gave it but my dog can't eat the cat food which i gave

Step-by-step explanation:

0,0(0 оценок)

In a circle a 60degree sector has area 25pi ft2. what is the circumference of the circle?

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question