SAT Math Multiple Choice Question 263: Answer and Explanation

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Test Information

Question: 263


What is the area of the shaded sector of the circle shown in the figure above?

  • A. 2π
  • B. 6π
  • C. 12π
  • D. 36π

Correct Answer: B



Difficulty: Medium

Category: Additional Topics in Math / Geometry

Strategic Advice: The area of a sector is equal to the area of the circle times the fraction of the circle represented by the sector.

Getting to the Answer: Start by finding the area of the whole circle: The diameter of the circle extends along the x-axis from -7 to 5, which is 12 units, which means the radius is 6. Substitute this into the area formula:

There are 360 degrees in a whole circle, so the fraction of the circle represented by the sector is The area of the sector is square units.

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