PSAT Math Multiple-Choice Question 596: Answer and Explanation

Question: 596

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

• A. πx²
• B.
• C.
• D.

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: