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hello can you help me solve this trigonometry problem and in the question it notes report answer accurate to a 4 decimal places (do not use pi or the sign of pi for this problem)

hello can you help me solve this trigonometry problem and in the question it notes-example-1
User Manosim
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2 Answers

2 votes
Formula
R^2x a/2

3.4^2x4.07/2
=23.5246
User RiaanDP
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3 votes

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}

User Tandrewnichols
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