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34 votes
If x represents the diameter of a circle, what is the area of a 60-degree sector of the circle?A. πx^2B. πx^2/24C. πx^2/6D. πx^2/36

User Xdg
by
2.7k points

1 Answer

5 votes
5 votes

The diameter of circle is d = x.

The angle of sector is,


\theta=60

The formula for area of sector is,


A=(\theta)/(360)\cdot(\pi d^2)/(4)

Substitute the values in the formula to determine the area of sector.


\begin{gathered} A=(60)/(360)\cdot(\pi x^2)/(4) \\ =(1)/(6)\cdot(\pi x^2)/(4) \\ =(\pi x^2)/(24) \end{gathered}

So area of sector of circle is πx^2/24.

Answer: Option B

User Vedran Kopanja
by
3.0k points
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