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What is the area of a sectorwhen 0= /12radians and r= 4?

What Is The Area Of A Sectorwhen 0 12radians And R 4 class=

Sagot :

Given: A sector with a central angle-

[tex]\theta=\frac{\pi}{12}\text{ radians}[/tex]

And the radius of 4 units.

Required: To determine the area of the sector.

Explanation: The area of the sector is given by the formula-

[tex]Area=\frac{1}{2}\theta r^2[/tex]

Substituting the values into the formula as-

[tex]\begin{gathered} Area=\frac{1}{2}(\frac{\pi}{12})(4^2) \\ =\frac{2\pi}{3}\text{ sq units} \end{gathered}[/tex]

Final Answer: The area of the sector is-

[tex]\frac{2\pi}{3}[/tex]

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