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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?-example-1
User Sashay
by
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1 Answer

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Given: A sector with a central angle-


\theta=(\pi)/(12)\text{ radians}

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-


Area=(1)/(2)\theta r^2

Substituting the values into the formula as-


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

Final Answer: The area of the sector is-


(2\pi)/(3)

User Mwag
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