A composite figure has a radius of 10 cm

Given:

The radius of the circle is 10 cm

The central angle of the circle is (360 - 90)° = 270°

We need to determine the area of the composite figure.

Area of the composite figure:

The area of the figure can be determined using the area of the sector formula.

Thus, we have;

Substituting and in the above formula, we get;

Simplifying, we get;

Multiplying, we get;

Dividing the terms, we get;

Thus, the area of the composite figure is 235.5 cm²

Hence, Option C is the correct answer.

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