Question

Use function notation to represent the area of a circle whose circumference is 136cm

Answer 1

Answer:

$A(\frac{68}{\pi})=\frac{4624}{\pi}$

Step-by-step explanation:

The given circle has circumference 136cm.

The formula for circumference is $C=2\pi r$

This implies that:

$136=2\pi r$

$\frac{136}{2\pi}=r$

$\frac{68}{\pi}=r$

The area of a circle is given as $A(r)=\pi r^2$

When $r=\frac{68}{\pi}$

$A(\frac{68}{\pi})=\pi*(\frac{68}{\pi})^2$

$A(\frac{68}{\pi})=\pi*\frac{(68)^2}{\pi^2}$

$A(\frac{68}{\pi})=\frac{4624}{\pi}$