MATH SOLVE

9 months ago

Q:
# An artist is creating a large butterfly sculpture outside a museum. There is a circular dot on each wing made out of a metal ring. The distance around each dot is 24pi inches. The artist plans to fill the inside of each dot with blue colored glass.What is the area of the blue glass will be needed to fill each butterfly dot?Give your answer in terms of pi.

Accepted Solution

A:

[tex]\bf \textit{"The distance around each dot is 24}\pi \textit{ inches."}\\\\
\textit{circumference of a circle}\\\\
C=2\pi r\quad
\begin{cases}
r=radius\\
-----\\
C=24\pi
\end{cases}\implies 24\pi =2\pi r\implies \cfrac{24\pi }{2\pi }=r
\\\\\\
\boxed{12=r}\\\\
-------------------------------\\\\
\textit{area of a circle}\\\\
A=\pi r^2\quad
\begin{cases}
r=radius\\
-----\\
r=12
\end{cases}\implies A=\pi 12^2\implies A=144\pi [/tex]