The figure shows a quadrant (quarter-circle) inside a square. The shaded part is the quadrant.<br><br>From the figure, the square has side = 10 cm, which is also the radius of the quadrant.<br><br>Area of quadrant = \(\frac{1}{4}\pi r^2 = \frac{1}{4}\pi \times 10^2 = 25\pi\) cm&sup2;.<br><br>Final Answer: C: \(25\pi \text{ cm}^2\)