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Tandrewnichols · Answer 1 · 2023-12-27T08:41:49+0000

Let's begin by listing out the information given to us:

$\theta=4.07,r=3.4\operatorname{cm}$

The area of a sector is given by the formula:

$\begin{gathered} A=(1)/(2)r^2\theta \\ where\colon\theta=radians \end{gathered}$

We will sustitute the values for central angle & radius into the formula to solve

$\begin{gathered} A=(1)/(2)r^2\theta \\ \theta=4.07,r=3.4\operatorname{cm} \\ A=(1)/(2)\cdot3.4^2\cdot4.07 \\ A=(1)/(2)\cdot47.0492=23.5246 \\ A=23.5246\operatorname{cm}^2 \end{gathered}$

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