Jason designed an arch made of wrought iron for the top of a mall entrance. The 11 segments between the two concentric circles are each 1.25 m long. Find the total length of wrought iron used to make the structure. Round the answer to the nearest meter.
Do you mean that the radius of the big one is 7.5m across and the radius of the little one is 5m accross
$$\begin{array}{rll}
Area &=& 0.5[\pi\times 7.5^2 - \pi\times 5^2]\\\\
&=& 0.5\pi[56.25-25]\\\\
&=& 0.5\pi\times 31.25\\\\
&=& 0.5\pi\times 31.25\\\\
&=& 49.087\\\\
&=& 49\:m^2
\end{array}$$
Natasza, do you mean that the arch is a half the area between 2 concentric cicles where the difference in the 2 radii is 1.25m? the question is quite confusing. What has the 11 sebments got to do with anything?
Like this ?
Yes, Melody! Sorry for no picture. The document I Got this From Is on Microsoft Word :(
At the floor of The Arch, It Is 15 Meters.
:)
Do you mean that the radius of the big one is 7.5m across and the radius of the little one is 5m accross
$$\begin{array}{rll}
Area &=& 0.5[\pi\times 7.5^2 - \pi\times 5^2]\\\\
&=& 0.5\pi[56.25-25]\\\\
&=& 0.5\pi\times 31.25\\\\
&=& 0.5\pi\times 31.25\\\\
&=& 49.087\\\\
&=& 49\:m^2
\end{array}$$