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The radius of a circle is 6 kilometers. What is the area of a sector bounded by a 126° arc?Give the exact answer in simplest form. ____ square kilometers.

The radius of a circle is 6 kilometers What is the area of a sector bounded by a 126 arcGive the exact answer in simplest form square kilometers class=

Respuesta :

It is given that the radius is 6 kilometers and the arc is 126 degrees.

The area of sector is given by:

[tex]\frac{126}{360}\times\pi\times6^2=39.5840\operatorname{km}^2[/tex]

Therefore the area is 39.5840 square kilometers.