The area formula for a circle is [tex]a = \pi(r)^{2} [/tex] when r is radius.
The circumference formula is [tex]c = 2(\pi)r[/tex] Since you have the circumference, you can plug it in and solve for the circle's radius. [tex]48 = 2(\pi)r[/tex] [tex]24 = \pi(r)[/tex] [tex] \frac{24}{\pi} = r [/tex] Now that you have r, you can plug it into the area formula and find the area. [tex]a = \pi( \frac{24}{\pi} )^{2} [/tex] [tex]a = (24)^{2} [/tex] [tex]a = 576[/tex]
