PSAT Math Multiple-Choice Practice Question 596

Question: 596

If x represents the diameter of a circle, what is the area of a 60-degree sector of the circle

Correct Answer: B

Explanation:

(B) A 60-degree sector of the circle is of the total circle's area since there are 360 degrees in a circle. The area of a circle is calculated using πr2. Since the diameter of the circle is x, the radius of the circle is half of So the area of this circle equals:

Multiply the circle area by to find the area of the sector:

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