Answer:
[tex]A(\frac{68}{\pi})=\frac{4624}{\pi}[/tex]
Step-by-step explanation:
The given circle has circumference 136cm.
The formula for circumference is [tex]C=2\pi r[/tex]
This implies that:
[tex]136=2\pi r[/tex]
[tex]\frac{136}{2\pi}=r[/tex]
[tex]\frac{68}{\pi}=r[/tex]
The area of a circle is given as [tex]A(r)=\pi r^2[/tex]
When [tex]r=\frac{68}{\pi}[/tex]
[tex]A(\frac{68}{\pi})=\pi*(\frac{68}{\pi})^2[/tex]
[tex]A(\frac{68}{\pi})=\pi*\frac{(68)^2}{\pi^2}[/tex]
[tex]A(\frac{68}{\pi})=\frac{4624}{\pi}[/tex]
