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For an arch length s, area of sector A, and central angle θ of a circle of radius r, find the indicated quantity for the given value. r=4.28 ft, θ= 2.79, s=?

For an arch length s area of sector A and central angle θ of a circle of radius r find the indicated quantity for the given value r428 ft θ 279 s class=

Respuesta :

The area of a sector S follows the equation:

[tex]S=\frac{1}{2}r^2\theta[/tex]

Where θ is the angle and r the radius.

In this case, we have:

• r = 4.28ft

,

• θ = 2.79

We write:

[tex]\begin{gathered} S=\frac{1}{2}(4.28)^2\cdot2.79 \\ S\approx25.554168 \end{gathered}[/tex]

Then, the answer, rounded up to two decimal places is

[tex]S=25.55[/tex]

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