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In circle L, with \( m\angle KLM = 34^\circ \) and \( KL = 6 \) units, find the area of sector KLM.

Round to the nearest hundredth.

Answer :

Answer: 3.56 units^2

Step-by-step explanation:

[tex]$$Given:\\In circle L:$$\begin{aligned}&\Rightarrow \angle K L M=34 \\&\Rightarrow K L=6 \text { units }\end{aligned}$$From the given figure, finding area of sector KLM:$$\begin{aligned}&\Rightarrow A=\frac{\angle K L M}{360} \times 2 \pi r \\&\Rightarrow A=\frac{34}{360} \times 2 \times 3.14 \times 6 \\&\Rightarrow A=3.56 \text { units}^2\end{aligned}$$[/tex]

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