2) $A B C D$ is a rectangle with $A B=8 \mathrm{~cm}$ and $B C=6 \mathrm{~cm}$. What is the area of the circumscribed circle?

(A) $25 \pi \mathrm{cm}^{2}$

(B) $24 \mathrm{~cm}^{2}$

(C) $24 \pi \mathrm{cm}^{2}$

(D) $50 \pi \mathrm{cm}^{2}$

(E) none of the above.

![](https://cdn.mathpix.com/cropped/2024_04_17_241a8f7ac8d78bebac61g-1.jpg?height=231&width=272&top_left_y=1205&top_left_x=1162)
2) The answer is $(\mathbf{A})$.

The diagonal $A C$ is also a diameter of the circumscribed circle.

The square of the length of $A C$ is equal to

$$
(64+36) \mathrm{cm}^{2}=100 \mathrm{~cm}^{2}
$$

and the area of the circle is therefore equal to

$$
\pi\left(\frac{100}{4}\right) \mathrm{cm}^{2}=25 \pi \mathrm{cm}^{2}
$$