Respuesta :

Area of a sector of a circle is (Angle of Sector/360°)*πr^2

If you plug in the given values, you get (30°/360°)*36π

Simplify the equation.
(1/12)*36π

Simplify the equation again and you get your answer.
Area = 3π

The formula to find the area of a sector is:

A = [tex]\frac{degree}{360} \pi r^{2}[/tex]

In this case:

Degree = 30

Radius = 6

^^^Plug these numbers into the formula given above

A = [tex]\frac{30}{360} \pi 6^{2}[/tex]

Solve

A = [tex]\frac{1}{12}[/tex]π6²

A = [tex]\frac{1}{12}[/tex]π36

A = [tex]\frac{36}{12}\pi[/tex]

A = 3π

^^^This is the area of the sector

Hope this helped!

~Just a girl in love with Shawn Mendes

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