Digital PSAT Math Practice Question 47: Answer and Explanation
Question: 47
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:
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