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A slice of a circular pizza 18 inches in diameter is cut into a wedge with a 45 degree angle. Find the area of the wedge and round to the nearest tenth of a unit.Include units in your answer using the provided buttons.

A slice of a circular pizza 18 inches in diameter is cut into a wedge with a 45 degree angle. Find the area of the wedge and round to the nearest tenth of a uni class=

Answer :

The formula for the area of wedge is,

[tex]A=\frac{\theta}{360}\cdot\pi(\frac{d}{2})^2[/tex]

Determine the area of wedge with theta = 45 degree and d = 18 in.

[tex]\begin{gathered} A=\frac{45}{360}\cdot\pi(\frac{18}{2})^2 \\ =0.125\pi\cdot81 \\ =31.80 \\ \approx31.8 \end{gathered}[/tex]

So area of wedge is 31.8 in^2.

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