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# Solution: What is the area of the circle not covered by the star?

#### Problem Statement: EE Board April 1990

In a circle of diameter of 10 m, a regular five-pointed star touching its circumference is inscribed. What is the area of that part not covered by the star?

• A. 40.5 sq. m
• B. 45.5 sq. m
• C. 50.5 sq. m
• D. 55.5 sq. m

The area of that part not covered by the star is 50.5 sq. m .

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