To solve the problem (assuming the common setup of a shaded segment in a circle with radius 7 cm and a 90° sector), follow these steps:

Step 1: Calculate the area of the sector

The sector angle is 90°, radius (r = 7) cm.
Area of sector = (\frac{\theta}{360^\circ} \times \pi r^2)
[=\frac{90^\circ}{360^\circ} \times \frac{22}{7} \times 7^2]
[=\frac{1}{4} \times 22 \times 7 = 38.5\ \text{cm}^2]

Step 2: Calculate the area of the right triangle

The triangle formed by the two radii and chord is a right triangle (90° angle).
Area of triangle = (\frac{1}{2} \times r \times r)
[=\frac{1}{2} \times 7 \times 7 = 24.5\ \text{cm}^2]

Step 3: Find the area of the shaded segment

Segment area = Sector area - Triangle area
[=38.5 - 24.5 = 14\ \text{cm}^2]

Answer: (\boxed{14})

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