The circle with diameter of 24 means that 2[tex] \pi [/tex]r = 24.
Solving for r, we get [tex] \pi [/tex]r=24.
Dividing both sides by [tex] \pi [/tex], we get r=24/[tex]\pi [/tex].
The area of the full circle is [tex] \pi [/tex] times 24 squared over [tex] \pi ^{2} [/tex]. The [tex] \pi [/tex] being multiplied cancels out, meaning that 24 squared over [tex] \pi [/tex] is the area of the full circle. 24 squared is 576, and dividing by 16 we get [tex] \frac{36}{\pi} [/tex] as the answer.
