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.

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asked Apr 19, 2023 87.6k views

1 Answer

Chris Dargis · Answer 1 · 2023-04-24T10:25:12+0000

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

The area of sector is given by:

$(126)/(360)*\pi*6^2=39.5840\operatorname{km}^2$

Therefore the area is 39.5840 square kilometers.