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The radius of a circle is 6 feet. What is the area of a sector bounded by a 66° arc?Give the exact answer in simplest form. ____ square feet. (pi, fraction,)

The radius of a circle is 6 feet What is the area of a sector bounded by a 66 arcGive the exact answer in simplest form square feet pi fraction class=

Respuesta :

[tex]\text{Area of a sector =}\frac{\theta\cdot\pi}{360}\cdot r^2[/tex]

where:

r= radius = 6 ft

Θ = angle = 66°

Replacing:

[tex]A=\frac{66\cdot\pi}{360}\cdot6^2[/tex]

A= 33/5 π

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