Respuesta :

Answer:

                [tex]8\frac23\ cm^2[/tex]

Step-by-step explanation:

sector of the circle if the angle at the center is 150° means  [tex]\frac{150^o}{360^o}[/tex] of full circle of given radius

area of a circle of given radius R is:  πR²

so area of given sector:

[tex]A=\dfrac{150^o}{360^o}\cdot \pi\cdot8^2=\dfrac5{12}\cdot3.1\cdot64=82,(6)=8\frac23\ cm^2[/tex]

Answer:

8 2/3cm²

Step-by-step explanation:

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