This math topic focuses on calculating the areas of partial (sector) areas of circles using given total area values. Each problem provides the area of a full circle and asks for the area of a half-sector, which is shaded in green on diagrams. The questions are multiple-choice, with each offering a range of possible answers expressed in terms of π. This is an introductory topic in a broader unit on the geometry of circles, covering partial areas and circumferences. The problems incrementally vary in the complexity of the values given, allowing progressive learning and application of the concept.
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The area of the full circle is 16π. What is the area of the green shaded 1/2 sector ?